TSTP Solution File: GRP383-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP383-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:38 EDT 2022

% Result   : Unsatisfiable 1.74s 0.59s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  240 (  23 unt;   0 def)
%            Number of atoms       :  905 ( 297 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1305 ( 640   ~; 653   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  13 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1036,plain,
    $false,
    inference(avatar_sat_refutation,[],[f97,f111,f130,f133,f140,f142,f148,f156,f158,f159,f160,f161,f173,f174,f175,f177,f179,f180,f181,f344,f371,f414,f458,f490,f623,f909,f942,f963,f1035]) ).

fof(f1035,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1033,f851]) ).

fof(f851,plain,
    ( identity = inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f780,f758]) ).

fof(f758,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f699,f2]) ).

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

fof(f699,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f519,f690]) ).

fof(f690,plain,
    ( identity = sk_c7
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f689,f2]) ).

fof(f689,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c3)
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f515,f124]) ).

fof(f124,plain,
    ( sk_c3 = sF1
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl12_8
  <=> sk_c3 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f515,plain,
    ( sk_c7 = multiply(inverse(sF1),sk_c3)
    | ~ spl12_4 ),
    inference(backward_demodulation,[],[f427,f106]) ).

fof(f106,plain,
    ( sk_c7 = sF9
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl12_4
  <=> sk_c7 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f427,plain,
    sF9 = multiply(inverse(sF1),sk_c3),
    inference(superposition,[],[f202,f248]) ).

fof(f248,plain,
    sk_c3 = multiply(sF1,sF9),
    inference(forward_demodulation,[],[f242,f42]) ).

fof(f42,plain,
    inverse(sk_c2) = sF1,
    introduced(function_definition,[]) ).

fof(f242,plain,
    sk_c3 = multiply(inverse(sk_c2),sF9),
    inference(superposition,[],[f202,f58]) ).

fof(f58,plain,
    multiply(sk_c2,sk_c3) = sF9,
    introduced(function_definition,[]) ).

fof(f202,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f194,f1]) ).

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

fof(f194,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f519,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f245,f92]) ).

fof(f92,plain,
    ( sk_c7 = sF4
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl12_1
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f245,plain,
    sk_c8 = multiply(inverse(sF4),identity),
    inference(superposition,[],[f202,f187]) ).

fof(f187,plain,
    identity = multiply(sF4,sk_c8),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    inverse(sk_c8) = sF4,
    introduced(function_definition,[]) ).

fof(f780,plain,
    ( identity = inverse(sk_c8)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f525,f690]) ).

fof(f525,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f47,f92]) ).

fof(f1033,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1020,f851]) ).

fof(f1020,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[],[f1014]) ).

fof(f1014,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(superposition,[],[f984,f2]) ).

fof(f984,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f982,f983]) ).

fof(f983,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f139,f953]) ).

fof(f953,plain,
    ( identity = sF10
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f952,f1]) ).

fof(f952,plain,
    ( sF10 = multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f951,f690]) ).

fof(f951,plain,
    ( sF10 = multiply(sk_c7,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8 ),
    inference(forward_demodulation,[],[f60,f758]) ).

fof(f60,plain,
    multiply(sk_c7,sk_c8) = sF10,
    introduced(function_definition,[]) ).

fof(f139,plain,
    ( sk_c6 = sF10
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl12_10
  <=> sk_c6 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f982,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(X7,sk_c6) )
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f981,f690]) ).

fof(f981,plain,
    ( ! [X7] :
        ( identity != multiply(X7,sk_c6)
        | sk_c7 != inverse(X7) )
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f172,f690]) ).

fof(f172,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != inverse(X7) )
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl12_15
  <=> ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f963,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | spl12_10
    | ~ spl12_11 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f962,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | spl12_10
    | ~ spl12_11 ),
    inference(subsumption_resolution,[],[f961,f954]) ).

fof(f954,plain,
    ( identity != sk_c6
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | spl12_10 ),
    inference(backward_demodulation,[],[f138,f953]) ).

fof(f138,plain,
    ( sk_c6 != sF10
    | spl12_10 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f961,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f960,f2]) ).

fof(f960,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f959,f690]) ).

fof(f959,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f237,f884]) ).

fof(f884,plain,
    ( identity = sF11
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f147,f758]) ).

fof(f147,plain,
    ( sk_c8 = sF11
    | ~ spl12_11 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl12_11
  <=> sk_c8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f237,plain,
    sk_c6 = multiply(inverse(sk_c7),sF11),
    inference(superposition,[],[f202,f66]) ).

fof(f66,plain,
    multiply(sk_c7,sk_c6) = sF11,
    introduced(function_definition,[]) ).

fof(f942,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f940,f1]) ).

fof(f940,plain,
    ( identity != multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f926,f851]) ).

fof(f926,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f925]) ).

fof(f925,plain,
    ( identity != multiply(identity,inverse(identity))
    | identity != identity
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(superposition,[],[f912,f2]) ).

fof(f912,plain,
    ( ! [X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X4,inverse(X4)) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f911,f690]) ).

fof(f911,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(inverse(X4),identity)
        | identity != multiply(X4,inverse(X4)) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f910,f758]) ).

fof(f910,plain,
    ( ! [X4] :
        ( identity != multiply(X4,inverse(X4))
        | sk_c7 != multiply(inverse(X4),sk_c8) )
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f166,f690]) ).

fof(f166,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,inverse(X4))
        | sk_c7 != multiply(inverse(X4),sk_c8) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f165,plain,
    ( spl12_13
  <=> ! [X4] :
        ( sk_c7 != multiply(inverse(X4),sk_c8)
        | sk_c7 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f909,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f903,f851]) ).

fof(f903,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[],[f898]) ).

fof(f898,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(superposition,[],[f877,f1]) ).

fof(f877,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f876,f758]) ).

fof(f876,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f823,f758]) ).

fof(f823,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f169,f690]) ).

fof(f169,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl12_14
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f623,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(avatar_contradiction_clause,[],[f622]) ).

fof(f622,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(subsumption_resolution,[],[f621,f612]) ).

fof(f612,plain,
    ( identity != sF3
    | ~ spl12_1
    | ~ spl12_2
    | spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f551,f565]) ).

fof(f565,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f553,f555]) ).

fof(f555,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f511,f546]) ).

fof(f546,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f525,f540]) ).

fof(f540,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f183,f537]) ).

fof(f537,plain,
    ( sk_c8 = sk_c4
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f513,f536]) ).

fof(f536,plain,
    ( sk_c8 = multiply(sk_c7,identity)
    | ~ spl12_1
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f535,f530]) ).

fof(f530,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f186,f511]) ).

fof(f186,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f60,f139]) ).

fof(f535,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f66,f147]) ).

fof(f513,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl12_1
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f252,f92]) ).

fof(f252,plain,
    ( sk_c4 = multiply(sF4,identity)
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f231,f47]) ).

fof(f231,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl12_2 ),
    inference(superposition,[],[f202,f188]) ).

fof(f188,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl12_2 ),
    inference(superposition,[],[f2,f183]) ).

fof(f183,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f44,f96]) ).

fof(f96,plain,
    ( sk_c8 = sF2
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl12_2
  <=> sk_c8 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f44,plain,
    inverse(sk_c4) = sF2,
    introduced(function_definition,[]) ).

fof(f511,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f187,f92]) ).

fof(f553,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f214,f546]) ).

fof(f214,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl12_2
    | ~ spl12_9 ),
    inference(superposition,[],[f205,f184]) ).

fof(f184,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f54,f129]) ).

fof(f129,plain,
    ( sk_c8 = sF7
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl12_9
  <=> sk_c8 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f54,plain,
    multiply(sk_c4,sk_c7) = sF7,
    introduced(function_definition,[]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f204,f1]) ).

fof(f204,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl12_2 ),
    inference(superposition,[],[f3,f188]) ).

fof(f551,plain,
    ( sk_c8 != sF3
    | ~ spl12_1
    | ~ spl12_2
    | spl12_7
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f119,f546]) ).

fof(f119,plain,
    ( sk_c7 != sF3
    | spl12_7 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl12_7
  <=> sk_c7 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f621,plain,
    ( identity = sF3
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f620,f1]) ).

fof(f620,plain,
    ( sF3 = multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f619,f569]) ).

fof(f569,plain,
    ( identity = sk_c5
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_11 ),
    inference(backward_demodulation,[],[f526,f565]) ).

fof(f526,plain,
    ( sk_c8 = sk_c5
    | ~ spl12_1
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f238,f519]) ).

fof(f238,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl12_5 ),
    inference(superposition,[],[f202,f189]) ).

fof(f189,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl12_5 ),
    inference(superposition,[],[f2,f182]) ).

fof(f182,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f41,f110]) ).

fof(f110,plain,
    ( sk_c7 = sF0
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl12_5
  <=> sk_c7 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f41,plain,
    inverse(sk_c5) = sF0,
    introduced(function_definition,[]) ).

fof(f619,plain,
    ( multiply(sk_c5,identity) = sF3
    | ~ spl12_1
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f46,f530]) ).

fof(f46,plain,
    multiply(sk_c5,sk_c6) = sF3,
    introduced(function_definition,[]) ).

fof(f490,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f484,f312]) ).

fof(f312,plain,
    ( identity = inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f292,f306]) ).

fof(f306,plain,
    ( identity = sk_c4
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f252,f304]) ).

fof(f304,plain,
    ( ! [X0] : multiply(sF4,X0) = X0
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f297,f1]) ).

fof(f297,plain,
    ( ! [X0] : multiply(sF4,multiply(identity,X0)) = X0
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f209,f287]) ).

fof(f287,plain,
    ( identity = sk_c8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f286,f187]) ).

fof(f286,plain,
    ( sk_c8 = multiply(sF4,sk_c8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f282,f283]) ).

fof(f283,plain,
    ( sk_c8 = sk_c6
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f264,f272]) ).

fof(f272,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f214,f255]) ).

fof(f255,plain,
    ( sk_c8 = sk_c7
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f236,f235]) ).

fof(f235,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl12_10 ),
    inference(superposition,[],[f202,f186]) ).

fof(f236,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(superposition,[],[f202,f218]) ).

fof(f218,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(superposition,[],[f207,f185]) ).

fof(f185,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f46,f120]) ).

fof(f120,plain,
    ( sk_c7 = sF3
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f207,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f206,f1]) ).

fof(f206,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl12_5 ),
    inference(superposition,[],[f3,f189]) ).

fof(f264,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f186,f255]) ).

fof(f282,plain,
    ( sk_c8 = multiply(sF4,sk_c6)
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f277,f47]) ).

fof(f277,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f235,f255]) ).

fof(f209,plain,
    ! [X0] : multiply(sF4,multiply(sk_c8,X0)) = X0,
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f208,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c8,X0)),
    inference(superposition,[],[f3,f187]) ).

fof(f292,plain,
    ( identity = inverse(sk_c4)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f183,f287]) ).

fof(f484,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[],[f477]) ).

fof(f477,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(superposition,[],[f461,f1]) ).

fof(f461,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f460,f298]) ).

fof(f298,plain,
    ( identity = sk_c7
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f255,f287]) ).

fof(f460,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c7 != multiply(X7,identity) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f459,f298]) ).

fof(f459,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != multiply(X7,identity) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f172,f301]) ).

fof(f301,plain,
    ( identity = sk_c6
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f283,f287]) ).

fof(f458,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f456,f312]) ).

fof(f456,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f434,f312]) ).

fof(f434,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[],[f431]) ).

fof(f431,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(superposition,[],[f417,f2]) ).

fof(f417,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f416,f287]) ).

fof(f416,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f415,f287]) ).

fof(f415,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f169,f298]) ).

fof(f414,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f390,f1]) ).

fof(f390,plain,
    ( identity != multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(duplicate_literal_removal,[],[f386]) ).

fof(f386,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(superposition,[],[f374,f312]) ).

fof(f374,plain,
    ( ! [X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X4,inverse(X4)) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f373,f298]) ).

fof(f373,plain,
    ( ! [X4] :
        ( identity != multiply(X4,inverse(X4))
        | sk_c7 != multiply(inverse(X4),identity) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f372,f287]) ).

fof(f372,plain,
    ( ! [X4] :
        ( identity != multiply(X4,inverse(X4))
        | sk_c7 != multiply(inverse(X4),sk_c8) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f166,f298]) ).

fof(f371,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | spl12_11 ),
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | spl12_11 ),
    inference(subsumption_resolution,[],[f369,f287]) ).

fof(f369,plain,
    ( identity != sk_c8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10
    | spl12_11 ),
    inference(forward_demodulation,[],[f146,f339]) ).

fof(f339,plain,
    ( identity = sF11
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f338,f1]) ).

fof(f338,plain,
    ( sF11 = multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f337,f287]) ).

fof(f337,plain,
    ( sF11 = multiply(sk_c8,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f257,f301]) ).

fof(f257,plain,
    ( multiply(sk_c8,sk_c6) = sF11
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f66,f255]) ).

fof(f146,plain,
    ( sk_c8 != sF11
    | spl12_11 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f344,plain,
    ( spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(subsumption_resolution,[],[f342,f287]) ).

fof(f342,plain,
    ( identity != sk_c8
    | spl12_1
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f258,f314]) ).

fof(f314,plain,
    ( identity = sF4
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f288,f312]) ).

fof(f288,plain,
    ( sF4 = inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f47,f287]) ).

fof(f258,plain,
    ( sk_c8 != sF4
    | spl12_1
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f91,f255]) ).

fof(f91,plain,
    ( sk_c7 != sF4
    | spl12_1 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f181,plain,
    ( spl12_9
    | spl12_11 ),
    inference(avatar_split_clause,[],[f73,f145,f127]) ).

fof(f73,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f11,f54,f66]) ).

fof(f11,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f180,plain,
    ( spl12_8
    | spl12_2 ),
    inference(avatar_split_clause,[],[f45,f94,f122]) ).

fof(f45,plain,
    ( sk_c8 = sF2
    | sk_c3 = sF1 ),
    inference(definition_folding,[],[f30,f44,f42]) ).

fof(f30,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f179,plain,
    ( spl12_2
    | spl12_11 ),
    inference(avatar_split_clause,[],[f67,f145,f94]) ).

fof(f67,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF2 ),
    inference(definition_folding,[],[f10,f44,f66]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f177,plain,
    ( spl12_9
    | spl12_4 ),
    inference(avatar_split_clause,[],[f86,f104,f127]) ).

fof(f86,plain,
    ( sk_c7 = sF9
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f26,f58,f54]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f175,plain,
    ( spl12_1
    | spl12_5 ),
    inference(avatar_split_clause,[],[f72,f108,f90]) ).

fof(f72,plain,
    ( sk_c7 = sF0
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f7,f41,f47]) ).

fof(f7,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f174,plain,
    ( spl12_4
    | spl12_2 ),
    inference(avatar_split_clause,[],[f65,f94,f104]) ).

fof(f65,plain,
    ( sk_c8 = sF2
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f25,f58,f44]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f173,plain,
    ( ~ spl12_10
    | spl12_13
    | ~ spl12_1
    | spl12_14
    | spl12_14
    | ~ spl12_11
    | spl12_15 ),
    inference(avatar_split_clause,[],[f80,f171,f145,f168,f168,f90,f165,f137]) ).

fof(f80,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c8 != sF11
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X6)
      | sk_c7 != sF4
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c7 != multiply(inverse(X4),sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X4,inverse(X4))
      | sk_c6 != sF10 ),
    inference(definition_folding,[],[f40,f60,f66,f47]) ).

fof(f40,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c7 != multiply(X4,inverse(X4))
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | sk_c7 != multiply(inverse(X4),sk_c8)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    inference(equality_resolution,[],[f39]) ).

fof(f39,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | inverse(X4) != X5
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c7 != multiply(X4,X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c8 != multiply(sk_c7,sk_c6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f161,plain,
    ( spl12_4
    | spl12_10 ),
    inference(avatar_split_clause,[],[f88,f137,f104]) ).

fof(f88,plain,
    ( sk_c6 = sF10
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f24,f58,f60]) ).

fof(f24,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f160,plain,
    ( spl12_1
    | spl12_7 ),
    inference(avatar_split_clause,[],[f48,f118,f90]) ).

fof(f48,plain,
    ( sk_c7 = sF3
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f8,f47,f46]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f159,plain,
    ( spl12_11
    | spl12_10 ),
    inference(avatar_split_clause,[],[f81,f137,f145]) ).

fof(f81,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF11 ),
    inference(definition_folding,[],[f9,f66,f60]) ).

fof(f9,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f158,plain,
    ( spl12_8
    | spl12_10 ),
    inference(avatar_split_clause,[],[f69,f137,f122]) ).

fof(f69,plain,
    ( sk_c6 = sF10
    | sk_c3 = sF1 ),
    inference(definition_folding,[],[f29,f42,f60]) ).

fof(f29,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f156,plain,
    ( spl12_7
    | spl12_11 ),
    inference(avatar_split_clause,[],[f77,f145,f118]) ).

fof(f77,plain,
    ( sk_c8 = sF11
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f13,f66,f46]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f148,plain,
    ( spl12_5
    | spl12_11 ),
    inference(avatar_split_clause,[],[f74,f145,f108]) ).

fof(f74,plain,
    ( sk_c8 = sF11
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f12,f66,f41]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f142,plain,
    ( spl12_8
    | spl12_5 ),
    inference(avatar_split_clause,[],[f43,f108,f122]) ).

fof(f43,plain,
    ( sk_c7 = sF0
    | sk_c3 = sF1 ),
    inference(definition_folding,[],[f32,f42,f41]) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f140,plain,
    ( spl12_1
    | spl12_10 ),
    inference(avatar_split_clause,[],[f61,f137,f90]) ).

fof(f61,plain,
    ( sk_c6 = sF10
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f4,f60,f47]) ).

fof(f4,axiom,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f133,plain,
    ( spl12_9
    | spl12_8 ),
    inference(avatar_split_clause,[],[f64,f122,f127]) ).

fof(f64,plain,
    ( sk_c3 = sF1
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f31,f54,f42]) ).

fof(f31,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f130,plain,
    ( spl12_1
    | spl12_9 ),
    inference(avatar_split_clause,[],[f82,f127,f90]) ).

fof(f82,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f6,f47,f54]) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f111,plain,
    ( spl12_4
    | spl12_5 ),
    inference(avatar_split_clause,[],[f85,f108,f104]) ).

fof(f85,plain,
    ( sk_c7 = sF0
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f27,f41,f58]) ).

fof(f27,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c3)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f97,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f51,f94,f90]) ).

fof(f51,plain,
    ( sk_c8 = sF2
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f5,f44,f47]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP383-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:26:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (29720)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.49  % (29730)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50  % (29722)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50  % (29725)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (29724)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (29739)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (29742)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (29723)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51  % (29733)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51  % (29739)Instruction limit reached!
% 0.19/0.51  % (29739)------------------------------
% 0.19/0.51  % (29739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29719)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (29734)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (29722)Refutation not found, incomplete strategy% (29722)------------------------------
% 0.19/0.51  % (29722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29742)Refutation not found, incomplete strategy% (29742)------------------------------
% 0.19/0.52  % (29742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29742)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (29742)Memory used [KB]: 5884
% 0.19/0.52  % (29742)Time elapsed: 0.074 s
% 0.19/0.52  % (29742)Instructions burned: 4 (million)
% 0.19/0.52  % (29742)------------------------------
% 0.19/0.52  % (29742)------------------------------
% 0.19/0.52  % (29739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29739)Termination reason: Unknown
% 0.19/0.52  % (29739)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29739)Memory used [KB]: 1407
% 0.19/0.52  % (29739)Time elapsed: 0.122 s
% 0.19/0.52  % (29739)Instructions burned: 6 (million)
% 0.19/0.52  % (29739)------------------------------
% 0.19/0.52  % (29739)------------------------------
% 0.19/0.52  % (29744)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.52  % (29722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29722)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (29722)Memory used [KB]: 5884
% 0.19/0.52  % (29722)Time elapsed: 0.117 s
% 0.19/0.52  % (29722)Instructions burned: 4 (million)
% 0.19/0.52  % (29722)------------------------------
% 0.19/0.52  % (29722)------------------------------
% 0.19/0.52  % (29741)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52  % (29736)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (29730)Instruction limit reached!
% 0.19/0.52  % (29730)------------------------------
% 0.19/0.52  % (29730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29730)Termination reason: Unknown
% 0.19/0.52  % (29730)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29730)Memory used [KB]: 6268
% 0.19/0.52  % (29730)Time elapsed: 0.130 s
% 0.19/0.52  % (29730)Instructions burned: 24 (million)
% 0.19/0.52  % (29730)------------------------------
% 0.19/0.52  % (29730)------------------------------
% 0.19/0.52  % (29747)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52  % (29732)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (29731)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52  % (29732)Instruction limit reached!
% 0.19/0.52  % (29732)------------------------------
% 0.19/0.52  % (29732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29732)Termination reason: Unknown
% 0.19/0.52  % (29732)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29732)Memory used [KB]: 5884
% 0.19/0.52  % (29732)Time elapsed: 0.003 s
% 0.19/0.52  % (29732)Instructions burned: 3 (million)
% 0.19/0.52  % (29732)------------------------------
% 0.19/0.52  % (29732)------------------------------
% 0.19/0.52  % (29734)Instruction limit reached!
% 0.19/0.52  % (29734)------------------------------
% 0.19/0.52  % (29734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29734)Termination reason: Unknown
% 0.19/0.52  % (29734)Termination phase: Finite model building preprocessing
% 0.19/0.52  
% 0.19/0.52  % (29734)Memory used [KB]: 6012
% 0.19/0.52  % (29734)Time elapsed: 0.007 s
% 0.19/0.52  % (29734)Instructions burned: 7 (million)
% 0.19/0.52  % (29734)------------------------------
% 0.19/0.52  % (29734)------------------------------
% 0.19/0.52  % (29726)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (29746)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53  % (29743)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53  % (29745)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53  % (29748)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (29721)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (29735)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (29735)Instruction limit reached!
% 0.19/0.53  % (29735)------------------------------
% 0.19/0.53  % (29735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29735)Termination reason: Unknown
% 0.19/0.53  % (29735)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29735)Memory used [KB]: 5756
% 0.19/0.53  % (29735)Time elapsed: 0.002 s
% 0.19/0.53  % (29735)Instructions burned: 3 (million)
% 0.19/0.53  % (29735)------------------------------
% 0.19/0.53  % (29735)------------------------------
% 0.19/0.53  % (29736)Instruction limit reached!
% 0.19/0.53  % (29736)------------------------------
% 0.19/0.53  % (29736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29736)Termination reason: Unknown
% 0.19/0.53  % (29736)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29736)Memory used [KB]: 6012
% 0.19/0.53  % (29736)Time elapsed: 0.118 s
% 0.19/0.53  % (29736)Instructions burned: 9 (million)
% 0.19/0.53  % (29736)------------------------------
% 0.19/0.53  % (29736)------------------------------
% 0.19/0.53  % (29721)Instruction limit reached!
% 0.19/0.53  % (29721)------------------------------
% 0.19/0.53  % (29721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29721)Termination reason: Unknown
% 0.19/0.53  % (29721)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29721)Memory used [KB]: 5884
% 0.19/0.53  % (29721)Time elapsed: 0.004 s
% 0.19/0.53  % (29721)Instructions burned: 4 (million)
% 0.19/0.53  % (29721)------------------------------
% 0.19/0.53  % (29721)------------------------------
% 0.19/0.54  % (29728)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (29729)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (29740)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.54  % (29738)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (29737)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54  % (29737)Refutation not found, incomplete strategy% (29737)------------------------------
% 0.19/0.54  % (29737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29727)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (29738)Instruction limit reached!
% 0.19/0.54  % (29738)------------------------------
% 0.19/0.54  % (29738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29729)Instruction limit reached!
% 0.19/0.54  % (29729)------------------------------
% 0.19/0.54  % (29729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29731)Instruction limit reached!
% 0.19/0.54  % (29731)------------------------------
% 0.19/0.54  % (29731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29731)Termination reason: Unknown
% 0.19/0.54  % (29731)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (29731)Memory used [KB]: 6012
% 0.19/0.54  % (29731)Time elapsed: 0.153 s
% 0.19/0.54  % (29731)Instructions burned: 6 (million)
% 0.19/0.54  % (29731)------------------------------
% 0.19/0.54  % (29731)------------------------------
% 0.19/0.54  % (29738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29738)Termination reason: Unknown
% 0.19/0.55  % (29738)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (29738)Memory used [KB]: 6012
% 0.19/0.55  % (29738)Time elapsed: 0.153 s
% 0.19/0.55  % (29738)Instructions burned: 9 (million)
% 0.19/0.55  % (29738)------------------------------
% 0.19/0.55  % (29738)------------------------------
% 1.59/0.55  % (29727)Instruction limit reached!
% 1.59/0.55  % (29727)------------------------------
% 1.59/0.55  % (29727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (29727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (29727)Termination reason: Unknown
% 1.59/0.55  % (29727)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (29727)Memory used [KB]: 5884
% 1.59/0.55  % (29727)Time elapsed: 0.004 s
% 1.59/0.55  % (29727)Instructions burned: 3 (million)
% 1.59/0.55  % (29727)------------------------------
% 1.59/0.55  % (29727)------------------------------
% 1.59/0.55  % (29729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (29729)Termination reason: Unknown
% 1.59/0.55  % (29729)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (29729)Memory used [KB]: 5884
% 1.59/0.55  % (29729)Time elapsed: 0.148 s
% 1.59/0.55  % (29729)Instructions burned: 6 (million)
% 1.59/0.55  % (29729)------------------------------
% 1.59/0.55  % (29729)------------------------------
% 1.59/0.55  % (29747)Instruction limit reached!
% 1.59/0.55  % (29747)------------------------------
% 1.59/0.55  % (29747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (29747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (29747)Termination reason: Unknown
% 1.59/0.55  % (29747)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (29747)Memory used [KB]: 6140
% 1.59/0.55  % (29747)Time elapsed: 0.164 s
% 1.59/0.55  % (29747)Instructions burned: 21 (million)
% 1.59/0.55  % (29747)------------------------------
% 1.59/0.55  % (29747)------------------------------
% 1.59/0.55  % (29737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (29737)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.55  
% 1.59/0.55  % (29737)Memory used [KB]: 10490
% 1.59/0.55  % (29737)Time elapsed: 0.149 s
% 1.59/0.55  % (29737)Instructions burned: 5 (million)
% 1.59/0.55  % (29737)------------------------------
% 1.59/0.55  % (29737)------------------------------
% 1.59/0.55  % (29733)Instruction limit reached!
% 1.59/0.55  % (29733)------------------------------
% 1.59/0.55  % (29733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (29733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (29733)Termination reason: Unknown
% 1.59/0.55  % (29733)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (29733)Memory used [KB]: 1663
% 1.59/0.55  % (29733)Time elapsed: 0.165 s
% 1.59/0.55  % (29733)Instructions burned: 29 (million)
% 1.59/0.55  % (29733)------------------------------
% 1.59/0.55  % (29733)------------------------------
% 1.59/0.56  % (29724)Instruction limit reached!
% 1.59/0.56  % (29724)------------------------------
% 1.59/0.56  % (29724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (29724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (29724)Termination reason: Unknown
% 1.59/0.56  % (29724)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (29724)Memory used [KB]: 6140
% 1.59/0.56  % (29724)Time elapsed: 0.143 s
% 1.59/0.56  % (29724)Instructions burned: 26 (million)
% 1.59/0.56  % (29724)------------------------------
% 1.59/0.56  % (29724)------------------------------
% 1.59/0.56  % (29723)Instruction limit reached!
% 1.59/0.56  % (29723)------------------------------
% 1.59/0.56  % (29723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (29723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (29723)Termination reason: Unknown
% 1.59/0.56  % (29723)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (29723)Memory used [KB]: 6396
% 1.59/0.56  % (29723)Time elapsed: 0.153 s
% 1.59/0.56  % (29723)Instructions burned: 34 (million)
% 1.59/0.56  % (29723)------------------------------
% 1.59/0.56  % (29723)------------------------------
% 1.59/0.56  % (29719)First to succeed.
% 1.74/0.57  % (29725)Instruction limit reached!
% 1.74/0.57  % (29725)------------------------------
% 1.74/0.57  % (29725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (29720)Instruction limit reached!
% 1.74/0.57  % (29720)------------------------------
% 1.74/0.57  % (29720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (29720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (29720)Termination reason: Unknown
% 1.74/0.57  % (29720)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (29720)Memory used [KB]: 1663
% 1.74/0.57  % (29720)Time elapsed: 0.168 s
% 1.74/0.57  % (29720)Instructions burned: 42 (million)
% 1.74/0.57  % (29720)------------------------------
% 1.74/0.57  % (29720)------------------------------
% 1.74/0.58  % (29725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (29725)Termination reason: Unknown
% 1.74/0.58  % (29725)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (29725)Memory used [KB]: 1535
% 1.74/0.58  % (29725)Time elapsed: 0.176 s
% 1.74/0.58  % (29725)Instructions burned: 50 (million)
% 1.74/0.58  % (29725)------------------------------
% 1.74/0.58  % (29725)------------------------------
% 1.74/0.58  % (29726)Instruction limit reached!
% 1.74/0.58  % (29726)------------------------------
% 1.74/0.58  % (29726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (29726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (29726)Termination reason: Unknown
% 1.74/0.58  % (29726)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (29726)Memory used [KB]: 6908
% 1.74/0.58  % (29726)Time elapsed: 0.129 s
% 1.74/0.58  % (29726)Instructions burned: 51 (million)
% 1.74/0.58  % (29726)------------------------------
% 1.74/0.58  % (29726)------------------------------
% 1.74/0.59  % (29719)Refutation found. Thanks to Tanya!
% 1.74/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.59  % (29719)------------------------------
% 1.74/0.59  % (29719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (29719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (29719)Termination reason: Refutation
% 1.74/0.59  
% 1.74/0.59  % (29719)Memory used [KB]: 6396
% 1.74/0.59  % (29719)Time elapsed: 0.160 s
% 1.74/0.59  % (29719)Instructions burned: 28 (million)
% 1.74/0.59  % (29719)------------------------------
% 1.74/0.59  % (29719)------------------------------
% 1.74/0.59  % (29715)Success in time 0.226 s
%------------------------------------------------------------------------------