TSTP Solution File: GRP356-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP356-1 : 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 : n019.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 05:47:30 EDT 2024

% Result   : Unsatisfiable 1.00s 0.89s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  299 (  30 unt;   0 def)
%            Number of atoms       :  903 ( 235 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1074 ( 470   ~; 583   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   33 (  31 usr;  22 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f954,plain,
    $false,
    inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f128,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f143,f148,f149,f150,f151,f152,f153,f158,f159,f160,f161,f162,f163,f184,f244,f252,f266,f296,f318,f331,f349,f372,f399,f425,f561,f855,f880,f895,f900,f948,f953]) ).

fof(f953,plain,
    ( ~ spl21_2
    | ~ spl21_15 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f952,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f951,f39]) ).

fof(f39,plain,
    ~ sP4(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f951,plain,
    ( sP4(sk_c6)
    | ~ spl21_2
    | ~ spl21_15 ),
    inference(forward_demodulation,[],[f177,f97]) ).

fof(f97,plain,
    ( sk_c6 = sF10
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl21_2
  <=> sk_c6 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f177,plain,
    ( sP4(sF10)
    | ~ spl21_15 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl21_15
  <=> sP4(sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).

fof(f948,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(avatar_contradiction_clause,[],[f947]) ).

fof(f947,plain,
    ( $false
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f946,f36]) ).

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

fof(f946,plain,
    ( sP1(sk_c7)
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f945,f913]) ).

fof(f913,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl21_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f112,plain,
    ( sk_c7 = sF14
    | ~ spl21_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl21_5
  <=> sk_c7 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).

fof(f54,plain,
    multiply(sk_c8,sk_c5) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f945,plain,
    ( sP1(multiply(sk_c8,sk_c5))
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f944,f186]) ).

fof(f186,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f117,plain,
    ( sk_c5 = sF15
    | ~ spl21_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl21_6
  <=> sk_c5 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).

fof(f56,plain,
    multiply(sk_c4,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f944,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f938,f35]) ).

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

fof(f938,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl21_7
    | ~ spl21_17 ),
    inference(superposition,[],[f183,f909]) ).

fof(f909,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f122,plain,
    ( sk_c8 = sF16
    | ~ spl21_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl21_7
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).

fof(f58,plain,
    inverse(sk_c4) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f183,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) )
    | ~ spl21_17 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl21_17
  <=> ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).

fof(f900,plain,
    ( ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_32 ),
    inference(avatar_contradiction_clause,[],[f899]) ).

fof(f899,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_32 ),
    inference(subsumption_resolution,[],[f898,f793]) ).

fof(f793,plain,
    ( ~ sP1(sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f36,f792]) ).

fof(f792,plain,
    ( sk_c7 = sk_c8
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f790,f409]) ).

fof(f409,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl21_8
    | ~ spl21_9 ),
    inference(superposition,[],[f364,f337]) ).

fof(f337,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl21_8 ),
    inference(backward_demodulation,[],[f60,f127]) ).

fof(f127,plain,
    ( sk_c8 = sF17
    | ~ spl21_8 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl21_8
  <=> sk_c8 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).

fof(f60,plain,
    multiply(sk_c1,sk_c7) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f364,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl21_9 ),
    inference(forward_demodulation,[],[f363,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',left_identity) ).

fof(f363,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl21_9 ),
    inference(superposition,[],[f3,f335]) ).

fof(f335,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl21_9 ),
    inference(backward_demodulation,[],[f193,f137]) ).

fof(f137,plain,
    ( sk_c7 = sF18
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl21_9
  <=> sk_c7 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f193,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f67]) ).

fof(f67,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',associativity) ).

fof(f790,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f364,f774]) ).

fof(f774,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f768,f405]) ).

fof(f405,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f362,f344]) ).

fof(f344,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | ~ spl21_10 ),
    inference(backward_demodulation,[],[f74,f147]) ).

fof(f147,plain,
    ( sk_c6 = sF19
    | ~ spl21_10 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl21_10
  <=> sk_c6 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).

fof(f74,plain,
    multiply(sk_c2,sk_c8) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f361,f1]) ).

fof(f361,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl21_11 ),
    inference(superposition,[],[f3,f328]) ).

fof(f328,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f194,f157]) ).

fof(f157,plain,
    ( sk_c8 = sF20
    | ~ spl21_11 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl21_11
  <=> sk_c8 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).

fof(f194,plain,
    identity = multiply(sF20,sk_c2),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    inverse(sk_c2) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f768,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c8,sk_c6)
    | ~ spl21_1
    | ~ spl21_8 ),
    inference(superposition,[],[f338,f347]) ).

fof(f347,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl21_1 ),
    inference(forward_demodulation,[],[f48,f93]) ).

fof(f93,plain,
    ( sk_c8 = sF11
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl21_1
  <=> sk_c8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f48,plain,
    multiply(sk_c7,sk_c6) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f338,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl21_8 ),
    inference(backward_demodulation,[],[f203,f127]) ).

fof(f203,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f60]) ).

fof(f898,plain,
    ( sP1(sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_32 ),
    inference(forward_demodulation,[],[f897,f1]) ).

fof(f897,plain,
    ( sP1(multiply(identity,sk_c8))
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_32 ),
    inference(forward_demodulation,[],[f896,f826]) ).

fof(f826,plain,
    ( identity = sk_c1
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f799,f817]) ).

fof(f817,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f767,f816]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f805,f767]) ).

fof(f805,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f364,f792]) ).

fof(f767,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl21_8
    | ~ spl21_9 ),
    inference(superposition,[],[f338,f364]) ).

fof(f799,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f335,f792]) ).

fof(f896,plain,
    ( sP1(multiply(sk_c1,sk_c8))
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_32 ),
    inference(forward_demodulation,[],[f420,f817]) ).

fof(f420,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl21_32 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl21_32
  <=> sP1(multiply(sk_c8,multiply(sk_c1,sk_c8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).

fof(f895,plain,
    ( ~ spl21_1
    | spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(avatar_contradiction_clause,[],[f894]) ).

fof(f894,plain,
    ( $false
    | ~ spl21_1
    | spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(subsumption_resolution,[],[f893,f842]) ).

fof(f842,plain,
    ( sk_c6 = sk_c8
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f836,f838]) ).

fof(f838,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f820,f817]) ).

fof(f820,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f408,f817]) ).

fof(f408,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f3,f405]) ).

fof(f836,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f344,f819]) ).

fof(f819,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f343,f817]) ).

fof(f343,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl21_10 ),
    inference(backward_demodulation,[],[f204,f147]) ).

fof(f204,plain,
    ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sF19,X0),
    inference(superposition,[],[f3,f74]) ).

fof(f893,plain,
    ( sk_c6 != sk_c8
    | ~ spl21_1
    | spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f96,f889]) ).

fof(f889,plain,
    ( sk_c8 = sF10
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f888,f792]) ).

fof(f888,plain,
    ( sk_c7 = sF10
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f47,f817]) ).

fof(f47,plain,
    multiply(sk_c8,sk_c7) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f96,plain,
    ( sk_c6 != sF10
    | spl21_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f880,plain,
    ( ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_33 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_33 ),
    inference(subsumption_resolution,[],[f878,f35]) ).

fof(f878,plain,
    ( sP0(sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_33 ),
    inference(forward_demodulation,[],[f424,f792]) ).

fof(f424,plain,
    ( sP0(sk_c7)
    | ~ spl21_33 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl21_33
  <=> sP0(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).

fof(f855,plain,
    ( ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f854,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(subsumption_resolution,[],[f851,f794]) ).

fof(f794,plain,
    ( ~ sP3(sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f38,f792]) ).

fof(f38,plain,
    ~ sP3(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f851,plain,
    ( sP3(sk_c8)
    | ~ spl21_1
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(backward_demodulation,[],[f736,f842]) ).

fof(f736,plain,
    ( sP3(sk_c6)
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(forward_demodulation,[],[f735,f344]) ).

fof(f735,plain,
    ( sP3(multiply(sk_c2,sk_c8))
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(subsumption_resolution,[],[f714,f37]) ).

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

fof(f714,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c2,sk_c8))
    | ~ spl21_11
    | ~ spl21_16 ),
    inference(superposition,[],[f180,f329]) ).

fof(f329,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f81,f157]) ).

fof(f180,plain,
    ( ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) )
    | ~ spl21_16 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl21_16
  <=> ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).

fof(f561,plain,
    ( ~ spl21_1
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(avatar_contradiction_clause,[],[f560]) ).

fof(f560,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f450,f427]) ).

fof(f427,plain,
    ( sP1(sk_c8)
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f426,f362]) ).

fof(f426,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c2,sk_c8)))
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f414,f35]) ).

fof(f414,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c2,sk_c8)))
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(superposition,[],[f183,f329]) ).

fof(f450,plain,
    ( ~ sP1(sk_c8)
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f36,f449]) ).

fof(f449,plain,
    ( sk_c7 = sk_c8
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f448,f347]) ).

fof(f448,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f441,f189]) ).

fof(f189,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl21_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f102,plain,
    ( sk_c7 = sF12
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl21_3
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).

fof(f50,plain,
    multiply(sk_c3,sk_c8) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f441,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c8)
    | ~ spl21_3
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f201,f405]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl21_3 ),
    inference(superposition,[],[f3,f189]) ).

fof(f425,plain,
    ( spl21_32
    | spl21_33
    | ~ spl21_9
    | ~ spl21_17 ),
    inference(avatar_split_clause,[],[f413,f182,f135,f422,f418]) ).

fof(f413,plain,
    ( sP0(sk_c7)
    | sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl21_9
    | ~ spl21_17 ),
    inference(superposition,[],[f183,f336]) ).

fof(f336,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl21_9 ),
    inference(backward_demodulation,[],[f67,f137]) ).

fof(f399,plain,
    ( ~ spl21_8
    | ~ spl21_9
    | ~ spl21_13 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f398,plain,
    ( $false
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f397,f43]) ).

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

fof(f397,plain,
    ( sP8(sk_c8)
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_13 ),
    inference(forward_demodulation,[],[f396,f337]) ).

fof(f396,plain,
    ( sP8(multiply(sk_c1,sk_c7))
    | ~ spl21_9
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f385,f42]) ).

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

fof(f385,plain,
    ( sP7(sk_c7)
    | sP8(multiply(sk_c1,sk_c7))
    | ~ spl21_9
    | ~ spl21_13 ),
    inference(superposition,[],[f170,f336]) ).

fof(f170,plain,
    ( ! [X3] :
        ( sP7(inverse(X3))
        | sP8(multiply(X3,sk_c7)) )
    | ~ spl21_13 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl21_13
  <=> ! [X3] :
        ( sP7(inverse(X3))
        | sP8(multiply(X3,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).

fof(f372,plain,
    ( ~ spl21_3
    | ~ spl21_4
    | ~ spl21_16 ),
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_16 ),
    inference(subsumption_resolution,[],[f370,f38]) ).

fof(f370,plain,
    ( sP3(sk_c7)
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_16 ),
    inference(forward_demodulation,[],[f369,f189]) ).

fof(f369,plain,
    ( sP3(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_16 ),
    inference(subsumption_resolution,[],[f366,f37]) ).

fof(f366,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_16 ),
    inference(superposition,[],[f180,f188]) ).

fof(f188,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f107,plain,
    ( sk_c8 = sF13
    | ~ spl21_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl21_4
  <=> sk_c8 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).

fof(f52,plain,
    inverse(sk_c3) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f349,plain,
    ( ~ spl21_10
    | ~ spl21_25 ),
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | ~ spl21_10
    | ~ spl21_25 ),
    inference(subsumption_resolution,[],[f41,f345]) ).

fof(f345,plain,
    ( sP6(sk_c6)
    | ~ spl21_10
    | ~ spl21_25 ),
    inference(backward_demodulation,[],[f317,f147]) ).

fof(f317,plain,
    ( sP6(sF19)
    | ~ spl21_25 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl21_25
  <=> sP6(sF19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).

fof(f41,plain,
    ~ sP6(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f331,plain,
    ( ~ spl21_11
    | ~ spl21_24 ),
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl21_11
    | ~ spl21_24 ),
    inference(subsumption_resolution,[],[f327,f40]) ).

fof(f40,plain,
    ~ sP5(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f327,plain,
    ( sP5(sk_c8)
    | ~ spl21_11
    | ~ spl21_24 ),
    inference(backward_demodulation,[],[f313,f157]) ).

fof(f313,plain,
    ( sP5(sF20)
    | ~ spl21_24 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl21_24
  <=> sP5(sF20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).

fof(f318,plain,
    ( spl21_24
    | spl21_25
    | ~ spl21_14 ),
    inference(avatar_split_clause,[],[f309,f172,f315,f311]) ).

fof(f172,plain,
    ( spl21_14
  <=> ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).

fof(f309,plain,
    ( sP6(sF19)
    | sP5(sF20)
    | ~ spl21_14 ),
    inference(forward_demodulation,[],[f292,f74]) ).

fof(f292,plain,
    ( sP5(sF20)
    | sP6(multiply(sk_c2,sk_c8))
    | ~ spl21_14 ),
    inference(superposition,[],[f173,f81]) ).

fof(f173,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c8)) )
    | ~ spl21_14 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f296,plain,
    ( ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_14 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_14 ),
    inference(subsumption_resolution,[],[f294,f216]) ).

fof(f216,plain,
    ( ~ sP6(sk_c8)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f41,f214]) ).

fof(f214,plain,
    ( sk_c6 = sk_c8
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(forward_demodulation,[],[f212,f190]) ).

fof(f190,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl21_2 ),
    inference(backward_demodulation,[],[f47,f97]) ).

fof(f212,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(superposition,[],[f209,f189]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl21_4 ),
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f208,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl21_4 ),
    inference(superposition,[],[f3,f191]) ).

fof(f191,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl21_4 ),
    inference(superposition,[],[f2,f188]) ).

fof(f294,plain,
    ( sP6(sk_c8)
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_14 ),
    inference(forward_demodulation,[],[f293,f235]) ).

fof(f235,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl21_3
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f189,f227]) ).

fof(f227,plain,
    ( sk_c7 = sk_c8
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(forward_demodulation,[],[f225,f187]) ).

fof(f187,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl21_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f225,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(superposition,[],[f211,f186]) ).

fof(f211,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl21_7 ),
    inference(forward_demodulation,[],[f210,f1]) ).

fof(f210,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl21_7 ),
    inference(superposition,[],[f3,f192]) ).

fof(f192,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl21_7 ),
    inference(superposition,[],[f2,f185]) ).

fof(f185,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f293,plain,
    ( sP6(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_14 ),
    inference(subsumption_resolution,[],[f289,f40]) ).

fof(f289,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_14 ),
    inference(superposition,[],[f173,f188]) ).

fof(f266,plain,
    ( ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f265,plain,
    ( $false
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f264,f43]) ).

fof(f264,plain,
    ( sP8(sk_c8)
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(forward_demodulation,[],[f263,f235]) ).

fof(f263,plain,
    ( sP8(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f259,f230]) ).

fof(f230,plain,
    ( ~ sP7(sk_c8)
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f42,f227]) ).

fof(f259,plain,
    ( sP7(sk_c8)
    | sP8(multiply(sk_c3,sk_c8))
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(superposition,[],[f253,f188]) ).

fof(f253,plain,
    ( ! [X3] :
        ( sP7(inverse(X3))
        | sP8(multiply(X3,sk_c8)) )
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(forward_demodulation,[],[f170,f227]) ).

fof(f252,plain,
    ( ~ spl21_12
    | ~ spl21_1 ),
    inference(avatar_split_clause,[],[f249,f91,f165]) ).

fof(f165,plain,
    ( spl21_12
  <=> sP9(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).

fof(f249,plain,
    ( ~ sP9(sk_c8)
    | ~ spl21_1 ),
    inference(backward_demodulation,[],[f88,f93]) ).

fof(f88,plain,
    ~ sP9(sF11),
    inference(definition_folding,[],[f44,f48]) ).

fof(f44,plain,
    ~ sP9(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f244,plain,
    ( spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(avatar_split_clause,[],[f243,f120,f115,f110,f105,f100,f95,f91]) ).

fof(f243,plain,
    ( sk_c8 = sF11
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(forward_demodulation,[],[f240,f239]) ).

fof(f239,plain,
    ( sF11 = multiply(sk_c8,sk_c8)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f217,f227]) ).

fof(f217,plain,
    ( sF11 = multiply(sk_c7,sk_c8)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f48,f214]) ).

fof(f240,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f219,f227]) ).

fof(f219,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f190,f214]) ).

fof(f184,plain,
    ( spl21_12
    | spl21_13
    | spl21_14
    | spl21_15
    | spl21_16
    | spl21_17 ),
    inference(avatar_split_clause,[],[f89,f182,f179,f175,f172,f169,f165]) ).

fof(f89,plain,
    ! [X3,X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(sF10)
      | sP5(inverse(X4))
      | sP6(multiply(X4,sk_c8))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c7))
      | sP9(sk_c8) ),
    inference(definition_folding,[],[f46,f47]) ).

fof(f46,plain,
    ! [X3,X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(inverse(X4))
      | sP6(multiply(X4,sk_c8))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c7))
      | sP9(sk_c8) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sP0(inverse(X7))
      | multiply(X7,sk_c8) != X6
      | sP1(multiply(sk_c8,X6))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(inverse(X4))
      | sP6(multiply(X4,sk_c8))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c7))
      | sP9(sk_c8) ),
    inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c7 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_31) ).

fof(f163,plain,
    ( spl21_11
    | spl21_7 ),
    inference(avatar_split_clause,[],[f87,f120,f155]) ).

fof(f87,plain,
    ( sk_c8 = sF16
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f33,f81,f58]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_30) ).

fof(f162,plain,
    ( spl21_11
    | spl21_6 ),
    inference(avatar_split_clause,[],[f86,f115,f155]) ).

fof(f86,plain,
    ( sk_c5 = sF15
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f32,f81,f56]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_29) ).

fof(f161,plain,
    ( spl21_11
    | spl21_5 ),
    inference(avatar_split_clause,[],[f85,f110,f155]) ).

fof(f85,plain,
    ( sk_c7 = sF14
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f31,f81,f54]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_28) ).

fof(f160,plain,
    ( spl21_11
    | spl21_4 ),
    inference(avatar_split_clause,[],[f84,f105,f155]) ).

fof(f84,plain,
    ( sk_c8 = sF13
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f30,f81,f52]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_27) ).

fof(f159,plain,
    ( spl21_11
    | spl21_3 ),
    inference(avatar_split_clause,[],[f83,f100,f155]) ).

fof(f83,plain,
    ( sk_c7 = sF12
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f29,f81,f50]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_26) ).

fof(f158,plain,
    ( spl21_11
    | spl21_2 ),
    inference(avatar_split_clause,[],[f82,f95,f155]) ).

fof(f82,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF20 ),
    inference(definition_folding,[],[f28,f81,f47]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_25) ).

fof(f153,plain,
    ( spl21_10
    | spl21_7 ),
    inference(avatar_split_clause,[],[f80,f120,f145]) ).

fof(f80,plain,
    ( sk_c8 = sF16
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f27,f74,f58]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_24) ).

fof(f152,plain,
    ( spl21_10
    | spl21_6 ),
    inference(avatar_split_clause,[],[f79,f115,f145]) ).

fof(f79,plain,
    ( sk_c5 = sF15
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f26,f74,f56]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_23) ).

fof(f151,plain,
    ( spl21_10
    | spl21_5 ),
    inference(avatar_split_clause,[],[f78,f110,f145]) ).

fof(f78,plain,
    ( sk_c7 = sF14
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f25,f74,f54]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_22) ).

fof(f150,plain,
    ( spl21_10
    | spl21_4 ),
    inference(avatar_split_clause,[],[f77,f105,f145]) ).

fof(f77,plain,
    ( sk_c8 = sF13
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f24,f74,f52]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_21) ).

fof(f149,plain,
    ( spl21_10
    | spl21_3 ),
    inference(avatar_split_clause,[],[f76,f100,f145]) ).

fof(f76,plain,
    ( sk_c7 = sF12
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f23,f74,f50]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_20) ).

fof(f148,plain,
    ( spl21_10
    | spl21_2 ),
    inference(avatar_split_clause,[],[f75,f95,f145]) ).

fof(f75,plain,
    ( sk_c6 = sF10
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f22,f74,f47]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_19) ).

fof(f143,plain,
    ( spl21_9
    | spl21_7 ),
    inference(avatar_split_clause,[],[f73,f120,f135]) ).

fof(f73,plain,
    ( sk_c8 = sF16
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f21,f67,f58]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_18) ).

fof(f142,plain,
    ( spl21_9
    | spl21_6 ),
    inference(avatar_split_clause,[],[f72,f115,f135]) ).

fof(f72,plain,
    ( sk_c5 = sF15
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f20,f67,f56]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_17) ).

fof(f141,plain,
    ( spl21_9
    | spl21_5 ),
    inference(avatar_split_clause,[],[f71,f110,f135]) ).

fof(f71,plain,
    ( sk_c7 = sF14
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f19,f67,f54]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_16) ).

fof(f140,plain,
    ( spl21_9
    | spl21_4 ),
    inference(avatar_split_clause,[],[f70,f105,f135]) ).

fof(f70,plain,
    ( sk_c8 = sF13
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f18,f67,f52]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_15) ).

fof(f139,plain,
    ( spl21_9
    | spl21_3 ),
    inference(avatar_split_clause,[],[f69,f100,f135]) ).

fof(f69,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f17,f67,f50]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_14) ).

fof(f138,plain,
    ( spl21_9
    | spl21_2 ),
    inference(avatar_split_clause,[],[f68,f95,f135]) ).

fof(f68,plain,
    ( sk_c6 = sF10
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f16,f67,f47]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_13) ).

fof(f133,plain,
    ( spl21_8
    | spl21_7 ),
    inference(avatar_split_clause,[],[f66,f120,f125]) ).

fof(f66,plain,
    ( sk_c8 = sF16
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f15,f60,f58]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_12) ).

fof(f132,plain,
    ( spl21_8
    | spl21_6 ),
    inference(avatar_split_clause,[],[f65,f115,f125]) ).

fof(f65,plain,
    ( sk_c5 = sF15
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f14,f60,f56]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_11) ).

fof(f131,plain,
    ( spl21_8
    | spl21_5 ),
    inference(avatar_split_clause,[],[f64,f110,f125]) ).

fof(f64,plain,
    ( sk_c7 = sF14
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f13,f60,f54]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_10) ).

fof(f130,plain,
    ( spl21_8
    | spl21_4 ),
    inference(avatar_split_clause,[],[f63,f105,f125]) ).

fof(f63,plain,
    ( sk_c8 = sF13
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f12,f60,f52]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_9) ).

fof(f129,plain,
    ( spl21_8
    | spl21_3 ),
    inference(avatar_split_clause,[],[f62,f100,f125]) ).

fof(f62,plain,
    ( sk_c7 = sF12
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f11,f60,f50]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_8) ).

fof(f128,plain,
    ( spl21_8
    | spl21_2 ),
    inference(avatar_split_clause,[],[f61,f95,f125]) ).

fof(f61,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f10,f60,f47]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_7) ).

fof(f123,plain,
    ( spl21_1
    | spl21_7 ),
    inference(avatar_split_clause,[],[f59,f120,f91]) ).

fof(f59,plain,
    ( sk_c8 = sF16
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f9,f48,f58]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_6) ).

fof(f118,plain,
    ( spl21_1
    | spl21_6 ),
    inference(avatar_split_clause,[],[f57,f115,f91]) ).

fof(f57,plain,
    ( sk_c5 = sF15
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_5) ).

fof(f113,plain,
    ( spl21_1
    | spl21_5 ),
    inference(avatar_split_clause,[],[f55,f110,f91]) ).

fof(f55,plain,
    ( sk_c7 = sF14
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_4) ).

fof(f108,plain,
    ( spl21_1
    | spl21_4 ),
    inference(avatar_split_clause,[],[f53,f105,f91]) ).

fof(f53,plain,
    ( sk_c8 = sF13
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_3) ).

fof(f103,plain,
    ( spl21_1
    | spl21_3 ),
    inference(avatar_split_clause,[],[f51,f100,f91]) ).

fof(f51,plain,
    ( sk_c7 = sF12
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_2) ).

fof(f98,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f49,f95,f91]) ).

fof(f49,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f4,f48,f47]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP356-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:43:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.YNK5zvetMl/Vampire---4.8_12978
% 0.59/0.79  % (13091)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.79  % (13093)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79  % (13096)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.79  % (13095)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79  % (13094)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.79  % (13097)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.79  % (13092)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (13090)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.80  % (13097)Refutation not found, incomplete strategy% (13097)------------------------------
% 0.59/0.80  % (13097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13097)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13097)Memory used [KB]: 984
% 0.59/0.80  % (13097)Time elapsed: 0.003 s
% 0.59/0.80  % (13097)Instructions burned: 4 (million)
% 0.59/0.80  % (13093)Refutation not found, incomplete strategy% (13093)------------------------------
% 0.59/0.80  % (13093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13093)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13093)Memory used [KB]: 982
% 0.59/0.80  % (13093)Time elapsed: 0.003 s
% 0.59/0.80  % (13093)Instructions burned: 4 (million)
% 0.59/0.80  % (13094)Refutation not found, incomplete strategy% (13094)------------------------------
% 0.59/0.80  % (13094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13097)------------------------------
% 0.59/0.80  % (13097)------------------------------
% 0.59/0.80  % (13094)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13094)Memory used [KB]: 998
% 0.59/0.80  % (13094)Time elapsed: 0.003 s
% 0.59/0.80  % (13094)Instructions burned: 4 (million)
% 0.59/0.80  % (13093)------------------------------
% 0.59/0.80  % (13093)------------------------------
% 0.59/0.80  % (13094)------------------------------
% 0.59/0.80  % (13094)------------------------------
% 0.59/0.80  % (13090)Refutation not found, incomplete strategy% (13090)------------------------------
% 0.59/0.80  % (13090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13090)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13090)Memory used [KB]: 999
% 0.59/0.80  % (13090)Time elapsed: 0.003 s
% 0.59/0.80  % (13090)Instructions burned: 4 (million)
% 0.59/0.80  % (13090)------------------------------
% 0.59/0.80  % (13090)------------------------------
% 0.59/0.80  % (13092)Refutation not found, incomplete strategy% (13092)------------------------------
% 0.59/0.80  % (13092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13092)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13092)Memory used [KB]: 1061
% 0.59/0.80  % (13092)Time elapsed: 0.004 s
% 0.59/0.80  % (13092)Instructions burned: 6 (million)
% 0.59/0.80  % (13092)------------------------------
% 0.59/0.80  % (13092)------------------------------
% 0.59/0.80  % (13100)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.80  % (13099)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.80  % (13102)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.80  % (13098)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.80  % (13101)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.80  % (13099)Refutation not found, incomplete strategy% (13099)------------------------------
% 0.59/0.80  % (13099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13099)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13099)Memory used [KB]: 991
% 0.59/0.80  % (13099)Time elapsed: 0.004 s
% 0.59/0.80  % (13099)Instructions burned: 5 (million)
% 0.59/0.80  % (13099)------------------------------
% 0.59/0.80  % (13099)------------------------------
% 0.59/0.80  % (13101)Refutation not found, incomplete strategy% (13101)------------------------------
% 0.59/0.80  % (13101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (13101)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (13101)Memory used [KB]: 1061
% 0.59/0.80  % (13101)Time elapsed: 0.004 s
% 0.59/0.80  % (13101)Instructions burned: 6 (million)
% 0.59/0.81  % (13101)------------------------------
% 0.59/0.81  % (13101)------------------------------
% 0.59/0.81  % (13098)Refutation not found, incomplete strategy% (13098)------------------------------
% 0.59/0.81  % (13098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (13098)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (13098)Memory used [KB]: 1071
% 0.59/0.81  % (13098)Time elapsed: 0.005 s
% 0.59/0.81  % (13098)Instructions burned: 7 (million)
% 0.59/0.81  % (13098)------------------------------
% 0.59/0.81  % (13098)------------------------------
% 0.59/0.81  % (13104)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 (2995ds/243Mi)
% 0.59/0.81  % (13100)Refutation not found, incomplete strategy% (13100)------------------------------
% 0.59/0.81  % (13100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (13100)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (13100)Memory used [KB]: 1191
% 0.59/0.81  % (13100)Time elapsed: 0.011 s
% 0.59/0.81  % (13100)Instructions burned: 20 (million)
% 0.59/0.81  % (13100)------------------------------
% 0.59/0.81  % (13100)------------------------------
% 0.59/0.81  % (13103)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.81  % (13105)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 (2995ds/117Mi)
% 0.59/0.81  % (13105)Refutation not found, incomplete strategy% (13105)------------------------------
% 0.59/0.81  % (13105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (13105)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (13105)Memory used [KB]: 985
% 0.59/0.81  % (13105)Time elapsed: 0.003 s
% 0.59/0.81  % (13105)Instructions burned: 4 (million)
% 0.59/0.81  % (13103)Refutation not found, incomplete strategy% (13103)------------------------------
% 0.59/0.81  % (13103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (13103)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (13103)Memory used [KB]: 1005
% 0.59/0.81  % (13103)Time elapsed: 0.003 s
% 0.59/0.81  % (13103)Instructions burned: 4 (million)
% 0.59/0.81  % (13105)------------------------------
% 0.59/0.81  % (13105)------------------------------
% 0.59/0.81  % (13103)------------------------------
% 0.59/0.81  % (13103)------------------------------
% 0.59/0.81  % (13095)Instruction limit reached!
% 0.59/0.81  % (13095)------------------------------
% 0.59/0.81  % (13095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (13095)Termination reason: Unknown
% 0.59/0.81  % (13095)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (13095)Memory used [KB]: 1628
% 0.59/0.81  % (13095)Time elapsed: 0.021 s
% 0.59/0.81  % (13095)Instructions burned: 45 (million)
% 0.59/0.81  % (13095)------------------------------
% 0.59/0.81  % (13095)------------------------------
% 0.59/0.82  % (13106)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 (2995ds/143Mi)
% 0.59/0.82  % (13107)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 (2995ds/93Mi)
% 0.59/0.82  % (13108)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 (2995ds/62Mi)
% 0.59/0.82  % (13109)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 (2995ds/32Mi)
% 0.59/0.82  % (13106)Refutation not found, incomplete strategy% (13106)------------------------------
% 0.59/0.82  % (13106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (13106)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (13106)Memory used [KB]: 1001
% 0.59/0.82  % (13106)Time elapsed: 0.004 s
% 0.59/0.82  % (13091)Instruction limit reached!
% 0.59/0.82  % (13091)------------------------------
% 0.59/0.82  % (13091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (13106)Instructions burned: 4 (million)
% 0.59/0.82  % (13091)Termination reason: Unknown
% 0.59/0.82  % (13091)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (13091)Memory used [KB]: 1588
% 0.59/0.82  % (13091)Time elapsed: 0.026 s
% 0.59/0.82  % (13091)Instructions burned: 51 (million)
% 0.59/0.82  % (13091)------------------------------
% 0.59/0.82  % (13091)------------------------------
% 0.59/0.82  % (13106)------------------------------
% 0.59/0.82  % (13106)------------------------------
% 0.59/0.82  % (13108)Refutation not found, incomplete strategy% (13108)------------------------------
% 0.59/0.82  % (13108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (13108)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (13108)Memory used [KB]: 985
% 0.59/0.82  % (13108)Time elapsed: 0.003 s
% 0.59/0.82  % (13108)Instructions burned: 3 (million)
% 0.59/0.82  % (13108)------------------------------
% 0.59/0.82  % (13108)------------------------------
% 0.59/0.82  % (13111)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 (2995ds/55Mi)
% 0.59/0.82  % (13112)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 (2995ds/53Mi)
% 0.59/0.82  % (13110)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 (2995ds/1919Mi)
% 0.59/0.82  % (13111)Refutation not found, incomplete strategy% (13111)------------------------------
% 0.59/0.82  % (13111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (13111)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (13111)Memory used [KB]: 1001
% 0.59/0.82  % (13111)Time elapsed: 0.004 s
% 0.59/0.82  % (13111)Instructions burned: 4 (million)
% 0.59/0.82  % (13111)------------------------------
% 0.59/0.82  % (13111)------------------------------
% 0.59/0.83  % (13110)Refutation not found, incomplete strategy% (13110)------------------------------
% 0.59/0.83  % (13110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (13110)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (13110)Memory used [KB]: 1061
% 0.59/0.83  % (13110)Time elapsed: 0.005 s
% 0.59/0.83  % (13110)Instructions burned: 7 (million)
% 0.59/0.83  % (13110)------------------------------
% 0.59/0.83  % (13110)------------------------------
% 0.59/0.83  % (13113)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 (2995ds/46Mi)
% 0.59/0.83  % (13113)Refutation not found, incomplete strategy% (13113)------------------------------
% 0.59/0.83  % (13113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (13113)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (13113)Memory used [KB]: 988
% 0.59/0.83  % (13113)Time elapsed: 0.003 s
% 0.59/0.83  % (13113)Instructions burned: 4 (million)
% 0.59/0.83  % (13113)------------------------------
% 0.59/0.83  % (13113)------------------------------
% 0.59/0.83  % (13114)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 (2995ds/102Mi)
% 0.59/0.83  % (13109)Instruction limit reached!
% 0.59/0.83  % (13109)------------------------------
% 0.59/0.83  % (13109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (13109)Termination reason: Unknown
% 0.59/0.83  % (13109)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (13109)Memory used [KB]: 1392
% 0.59/0.83  % (13109)Time elapsed: 0.017 s
% 0.59/0.83  % (13109)Instructions burned: 32 (million)
% 0.59/0.83  % (13109)------------------------------
% 0.59/0.83  % (13109)------------------------------
% 0.59/0.83  % (13096)Instruction limit reached!
% 0.59/0.83  % (13096)------------------------------
% 0.59/0.83  % (13096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (13096)Termination reason: Unknown
% 0.59/0.83  % (13096)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (13096)Memory used [KB]: 1984
% 0.59/0.83  % (13096)Time elapsed: 0.040 s
% 0.59/0.83  % (13096)Instructions burned: 84 (million)
% 0.59/0.83  % (13096)------------------------------
% 0.59/0.83  % (13096)------------------------------
% 0.84/0.83  % (13115)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 (2995ds/35Mi)
% 0.84/0.84  % (13116)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.84/0.84  % (13114)Refutation not found, incomplete strategy% (13114)------------------------------
% 0.84/0.84  % (13114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.84  % (13114)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.84  
% 0.84/0.84  % (13114)Memory used [KB]: 1078
% 0.84/0.84  % (13114)Time elapsed: 0.006 s
% 0.84/0.84  % (13114)Instructions burned: 8 (million)
% 0.84/0.84  % (13114)------------------------------
% 0.84/0.84  % (13114)------------------------------
% 0.84/0.84  % (13117)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)
% 0.84/0.84  % (13118)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)
% 0.84/0.84  % (13118)Refutation not found, incomplete strategy% (13118)------------------------------
% 0.84/0.84  % (13118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.84  % (13118)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.84  
% 0.84/0.84  % (13118)Memory used [KB]: 979
% 0.84/0.84  % (13118)Time elapsed: 0.004 s
% 0.84/0.84  % (13118)Instructions burned: 4 (million)
% 0.84/0.84  % (13118)------------------------------
% 0.84/0.84  % (13118)------------------------------
% 0.84/0.85  % (13112)Instruction limit reached!
% 0.84/0.85  % (13112)------------------------------
% 0.84/0.85  % (13112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.85  % (13112)Termination reason: Unknown
% 0.84/0.85  % (13112)Termination phase: Saturation
% 0.84/0.85  
% 0.84/0.85  % (13112)Memory used [KB]: 1174
% 0.84/0.85  % (13112)Time elapsed: 0.025 s
% 0.84/0.85  % (13112)Instructions burned: 54 (million)
% 0.84/0.85  % (13112)------------------------------
% 0.84/0.85  % (13112)------------------------------
% 0.84/0.85  % (13119)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)
% 0.84/0.85  % (13115)Instruction limit reached!
% 0.84/0.85  % (13115)------------------------------
% 0.84/0.85  % (13115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.85  % (13115)Termination reason: Unknown
% 0.84/0.85  % (13115)Termination phase: Saturation
% 0.84/0.85  
% 0.84/0.85  % (13115)Memory used [KB]: 1157
% 0.84/0.85  % (13115)Time elapsed: 0.038 s
% 0.84/0.85  % (13115)Instructions burned: 37 (million)
% 0.84/0.85  % (13115)------------------------------
% 0.84/0.85  % (13115)------------------------------
% 0.84/0.85  % (13119)Refutation not found, incomplete strategy% (13119)------------------------------
% 0.84/0.85  % (13119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.85  % (13119)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.85  
% 0.84/0.85  % (13119)Memory used [KB]: 1007
% 0.84/0.85  % (13119)Time elapsed: 0.004 s
% 0.84/0.85  % (13119)Instructions burned: 4 (million)
% 0.84/0.85  % (13119)------------------------------
% 0.84/0.85  % (13119)------------------------------
% 0.84/0.85  % (13120)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)
% 0.84/0.86  % (13122)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)
% 0.84/0.86  % (13121)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)
% 0.84/0.86  % (13107)Instruction limit reached!
% 0.84/0.86  % (13107)------------------------------
% 0.84/0.86  % (13107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.86  % (13107)Termination reason: Unknown
% 0.84/0.86  % (13107)Termination phase: Saturation
% 0.84/0.86  
% 0.84/0.86  % (13107)Memory used [KB]: 2258
% 0.84/0.86  % (13107)Time elapsed: 0.043 s
% 0.84/0.86  % (13107)Instructions burned: 94 (million)
% 0.84/0.86  % (13107)------------------------------
% 0.84/0.86  % (13107)------------------------------
% 0.84/0.86  % (13123)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)
% 0.84/0.87  % (13120)Refutation not found, incomplete strategy% (13120)------------------------------
% 0.84/0.87  % (13120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.87  % (13120)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.87  
% 0.84/0.87  % (13120)Memory used [KB]: 1268
% 0.84/0.87  % (13120)Time elapsed: 0.014 s
% 0.84/0.87  % (13120)Instructions burned: 22 (million)
% 0.84/0.87  % (13120)------------------------------
% 0.84/0.87  % (13120)------------------------------
% 0.84/0.87  % (13116)Instruction limit reached!
% 0.84/0.87  % (13116)------------------------------
% 0.84/0.87  % (13116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.87  % (13116)Termination reason: Unknown
% 0.84/0.87  % (13116)Termination phase: Saturation
% 0.84/0.87  
% 0.84/0.87  % (13116)Memory used [KB]: 1404
% 0.84/0.87  % (13116)Time elapsed: 0.058 s
% 0.84/0.87  % (13116)Instructions burned: 87 (million)
% 0.84/0.87  % (13116)------------------------------
% 0.84/0.87  % (13116)------------------------------
% 0.84/0.87  % (13124)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 (2994ds/37Mi)
% 1.00/0.88  % (13125)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.00/0.88  % (13125)Refutation not found, incomplete strategy% (13125)------------------------------
% 1.00/0.88  % (13125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.88  % (13125)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.88  
% 1.00/0.88  % (13125)Memory used [KB]: 1083
% 1.00/0.88  % (13125)Time elapsed: 0.006 s
% 1.00/0.88  % (13125)Instructions burned: 9 (million)
% 1.00/0.88  % (13125)------------------------------
% 1.00/0.88  % (13125)------------------------------
% 1.00/0.88  % (13121)First to succeed.
% 1.00/0.88  % (13121)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13089"
% 1.00/0.89  % (13121)Refutation found. Thanks to Tanya!
% 1.00/0.89  % SZS status Unsatisfiable for Vampire---4
% 1.00/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 1.00/0.89  % (13121)------------------------------
% 1.00/0.89  % (13121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.89  % (13121)Termination reason: Refutation
% 1.00/0.89  
% 1.00/0.89  % (13121)Memory used [KB]: 1290
% 1.00/0.89  % (13121)Time elapsed: 0.030 s
% 1.00/0.89  % (13121)Instructions burned: 45 (million)
% 1.00/0.89  % (13089)Success in time 0.523 s
% 1.00/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------