TSTP Solution File: GRP211-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP211-1 : 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_sat --cores 0 -t %d %s

% Computer : n016.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 16:20:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  264 (  39 unt;   0 def)
%            Number of atoms       :  707 ( 307 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  820 ( 377   ~; 424   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  20 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  19 con; 0-2 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f995,plain,
    $false,
    inference(avatar_sat_refutation,[],[f81,f90,f95,f104,f105,f114,f119,f120,f121,f122,f123,f124,f125,f127,f128,f129,f130,f131,f132,f133,f143,f144,f145,f146,f147,f215,f229,f251,f283,f410,f428,f511,f515,f590,f641,f671,f892,f932,f963]) ).

fof(f963,plain,
    ( ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17
    | spl15_19 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f962,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17
    | spl15_19 ),
    inference(subsumption_resolution,[],[f961,f232]) ).

fof(f232,plain,
    ( identity = sk_c8
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl15_17
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f961,plain,
    ( identity != sk_c8
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17
    | spl15_19 ),
    inference(forward_demodulation,[],[f242,f724]) ).

fof(f724,plain,
    ( identity = sk_c7
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f723,f1]) ).

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

fof(f723,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f722,f232]) ).

fof(f722,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f721,f76]) ).

fof(f76,plain,
    ( sk_c8 = sF9
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl15_1
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f721,plain,
    ( sk_c7 = multiply(sF9,identity)
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f718,f232]) ).

fof(f718,plain,
    ( sk_c7 = multiply(sF9,sk_c8)
    | ~ spl15_7 ),
    inference(superposition,[],[f397,f103]) ).

fof(f103,plain,
    ( sk_c8 = sF8
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl15_7
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f397,plain,
    sk_c7 = multiply(sF9,sF8),
    inference(forward_demodulation,[],[f375,f54]) ).

fof(f54,plain,
    inverse(sk_c3) = sF9,
    introduced(function_definition,[]) ).

fof(f375,plain,
    sk_c7 = multiply(inverse(sk_c3),sF8),
    inference(superposition,[],[f330,f48]) ).

fof(f48,plain,
    multiply(sk_c3,sk_c7) = sF8,
    introduced(function_definition,[]) ).

fof(f330,plain,
    ! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = X13,
    inference(forward_demodulation,[],[f289,f1]) ).

fof(f289,plain,
    ! [X12,X13] : multiply(identity,X13) = multiply(inverse(X12),multiply(X12,X13)),
    inference(superposition,[],[f3,f2]) ).

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

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(f242,plain,
    ( sk_c8 != sk_c7
    | spl15_19 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl15_19
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f932,plain,
    ( ~ spl15_1
    | spl15_16
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f931]) ).

fof(f931,plain,
    ( $false
    | ~ spl15_1
    | spl15_16
    | ~ spl15_17 ),
    inference(subsumption_resolution,[],[f930,f232]) ).

fof(f930,plain,
    ( identity != sk_c8
    | ~ spl15_1
    | spl15_16
    | ~ spl15_17 ),
    inference(superposition,[],[f901,f76]) ).

fof(f901,plain,
    ( identity != sF9
    | spl15_16
    | ~ spl15_17 ),
    inference(superposition,[],[f893,f54]) ).

fof(f893,plain,
    ( identity != inverse(sk_c3)
    | spl15_16
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f228,f232]) ).

fof(f228,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl15_16 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl15_16
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f892,plain,
    ( ~ spl15_1
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(avatar_contradiction_clause,[],[f891]) ).

fof(f891,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f890,f232]) ).

fof(f890,plain,
    ( identity != sk_c8
    | ~ spl15_1
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(superposition,[],[f828,f76]) ).

fof(f828,plain,
    ( identity != sF9
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(superposition,[],[f827,f54]) ).

fof(f827,plain,
    ( identity != inverse(sk_c3)
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f826,f232]) ).

fof(f826,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f825,f232]) ).

fof(f825,plain,
    ( sk_c8 != inverse(sk_c3)
    | identity != sk_c8
    | ~ spl15_7
    | ~ spl15_11
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(superposition,[],[f642,f824]) ).

fof(f824,plain,
    ( identity = sF14(sk_c3)
    | ~ spl15_7
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f823,f232]) ).

fof(f823,plain,
    ( sk_c8 = sF14(sk_c3)
    | ~ spl15_7
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f822,f607]) ).

fof(f607,plain,
    ( sk_c8 = sF13(sk_c8)
    | ~ spl15_14
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f206,f241]) ).

fof(f241,plain,
    ( sk_c8 = sk_c7
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f206,plain,
    ( sk_c7 = sF13(sk_c8)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl15_14
  <=> sk_c7 = sF13(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f822,plain,
    ( sF14(sk_c3) = sF13(sk_c8)
    | ~ spl15_7
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f821,f676]) ).

fof(f676,plain,
    ( ! [X0] : sF13(X0) = multiply(X0,identity)
    | ~ spl15_17 ),
    inference(superposition,[],[f59,f232]) ).

fof(f59,plain,
    ! [X8] : multiply(X8,sk_c8) = sF13(X8),
    introduced(function_definition,[]) ).

fof(f821,plain,
    ( sF14(sk_c3) = multiply(sk_c8,identity)
    | ~ spl15_7
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(superposition,[],[f60,f816]) ).

fof(f816,plain,
    ( identity = sF13(sk_c3)
    | ~ spl15_7
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f815,f232]) ).

fof(f815,plain,
    ( sk_c8 = sF13(sk_c3)
    | ~ spl15_7
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f801,f103]) ).

fof(f801,plain,
    ( sF13(sk_c3) = sF8
    | ~ spl15_19 ),
    inference(superposition,[],[f413,f59]) ).

fof(f413,plain,
    ( multiply(sk_c3,sk_c8) = sF8
    | ~ spl15_19 ),
    inference(superposition,[],[f48,f241]) ).

fof(f60,plain,
    ! [X8] : sF14(X8) = multiply(sk_c8,sF13(X8)),
    introduced(function_definition,[]) ).

fof(f642,plain,
    ( ! [X8] :
        ( sk_c8 != sF14(X8)
        | sk_c8 != inverse(X8) )
    | ~ spl15_11
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f136,f241]) ).

fof(f136,plain,
    ( ! [X8] :
        ( sk_c7 != sF14(X8)
        | sk_c8 != inverse(X8) )
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl15_11
  <=> ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != sF14(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f671,plain,
    ( ~ spl15_5
    | ~ spl15_9
    | spl15_17 ),
    inference(avatar_contradiction_clause,[],[f670]) ).

fof(f670,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_9
    | spl15_17 ),
    inference(subsumption_resolution,[],[f669,f233]) ).

fof(f233,plain,
    ( identity != sk_c8
    | spl15_17 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f669,plain,
    ( identity = sk_c8
    | ~ spl15_5
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f668,f2]) ).

fof(f668,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl15_5
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f667,f94]) ).

fof(f94,plain,
    ( sk_c2 = sF3
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl15_5
  <=> sk_c2 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f667,plain,
    ( sk_c8 = multiply(inverse(sF3),sk_c2)
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f663,f113]) ).

fof(f113,plain,
    ( sk_c8 = sF1
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl15_9
  <=> sk_c8 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f663,plain,
    multiply(inverse(sF3),sk_c2) = sF1,
    inference(superposition,[],[f330,f396]) ).

fof(f396,plain,
    sk_c2 = multiply(sF3,sF1),
    inference(forward_demodulation,[],[f361,f36]) ).

fof(f36,plain,
    inverse(sk_c1) = sF3,
    introduced(function_definition,[]) ).

fof(f361,plain,
    sk_c2 = multiply(inverse(sk_c1),sF1),
    inference(superposition,[],[f330,f33]) ).

fof(f33,plain,
    multiply(sk_c1,sk_c2) = sF1,
    introduced(function_definition,[]) ).

fof(f641,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(avatar_contradiction_clause,[],[f640]) ).

fof(f640,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f639,f113]) ).

fof(f639,plain,
    ( sk_c8 != sF1
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_13 ),
    inference(superposition,[],[f619,f550]) ).

fof(f550,plain,
    ( sF1 = sF10(sk_c1)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f548,f33]) ).

fof(f548,plain,
    ( multiply(sk_c1,sk_c2) = sF10(sk_c1)
    | ~ spl15_5 ),
    inference(superposition,[],[f174,f94]) ).

fof(f174,plain,
    multiply(sk_c1,sF3) = sF10(sk_c1),
    inference(superposition,[],[f56,f36]) ).

fof(f56,plain,
    ! [X3] : multiply(X3,inverse(X3)) = sF10(X3),
    introduced(function_definition,[]) ).

fof(f619,plain,
    ( sk_c8 != sF10(sk_c1)
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f618,f89]) ).

fof(f89,plain,
    ( sk_c8 = sF4
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl15_4
  <=> sk_c8 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f618,plain,
    ( sk_c8 != sF4
    | sk_c8 != sF10(sk_c1)
    | ~ spl15_5
    | ~ spl15_13 ),
    inference(superposition,[],[f142,f552]) ).

fof(f552,plain,
    ( sF11(sk_c1) = sF4
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f547,f38]) ).

fof(f38,plain,
    multiply(sk_c2,sk_c7) = sF4,
    introduced(function_definition,[]) ).

fof(f547,plain,
    ( multiply(sk_c2,sk_c7) = sF11(sk_c1)
    | ~ spl15_5 ),
    inference(superposition,[],[f184,f94]) ).

fof(f184,plain,
    sF11(sk_c1) = multiply(sF3,sk_c7),
    inference(superposition,[],[f57,f36]) ).

fof(f57,plain,
    ! [X3] : sF11(X3) = multiply(inverse(X3),sk_c7),
    introduced(function_definition,[]) ).

fof(f142,plain,
    ( ! [X3] :
        ( sk_c8 != sF11(X3)
        | sk_c8 != sF10(X3) )
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl15_13
  <=> ! [X3] :
        ( sk_c8 != sF11(X3)
        | sk_c8 != sF10(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f590,plain,
    ( spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(avatar_contradiction_clause,[],[f589]) ).

fof(f589,plain,
    ( $false
    | spl15_14
    | ~ spl15_17
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f588,f241]) ).

fof(f588,plain,
    ( sk_c8 != sk_c7
    | spl15_14
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f575,f169]) ).

fof(f169,plain,
    sk_c8 = sF13(identity),
    inference(superposition,[],[f1,f59]) ).

fof(f575,plain,
    ( sk_c7 != sF13(identity)
    | spl15_14
    | ~ spl15_17 ),
    inference(superposition,[],[f207,f232]) ).

fof(f207,plain,
    ( sk_c7 != sF13(sk_c8)
    | spl15_14 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f515,plain,
    ( ~ spl15_6
    | ~ spl15_8
    | ~ spl15_17
    | spl15_22 ),
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_17
    | spl15_22 ),
    inference(subsumption_resolution,[],[f427,f232]) ).

fof(f427,plain,
    ( identity != sk_c8
    | ~ spl15_6
    | ~ spl15_8
    | spl15_22 ),
    inference(forward_demodulation,[],[f278,f402]) ).

fof(f402,plain,
    ( identity = sk_c6
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f400,f2]) ).

fof(f400,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(superposition,[],[f330,f394]) ).

fof(f394,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f393,f109]) ).

fof(f109,plain,
    ( sk_c8 = sF6
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl15_8
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f393,plain,
    ( sk_c8 = multiply(sF6,sk_c6)
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f392,f42]) ).

fof(f42,plain,
    inverse(sk_c5) = sF6,
    introduced(function_definition,[]) ).

fof(f392,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f374,f99]) ).

fof(f99,plain,
    ( sk_c6 = sF0
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl15_6
  <=> sk_c6 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f374,plain,
    sk_c8 = multiply(inverse(sk_c5),sF0),
    inference(superposition,[],[f330,f32]) ).

fof(f32,plain,
    multiply(sk_c5,sk_c8) = sF0,
    introduced(function_definition,[]) ).

fof(f278,plain,
    ( sk_c8 != sk_c6
    | spl15_22 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl15_22
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f511,plain,
    ( ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | spl15_17
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(avatar_contradiction_clause,[],[f510]) ).

fof(f510,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | spl15_17
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f509,f233]) ).

fof(f509,plain,
    ( identity = sk_c8
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f504,f402]) ).

fof(f504,plain,
    ( sk_c8 = sk_c6
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(superposition,[],[f498,f99]) ).

fof(f498,plain,
    ( sk_c8 = sF0
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(superposition,[],[f32,f454]) ).

fof(f454,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f453,f241]) ).

fof(f453,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f452,f154]) ).

fof(f154,plain,
    sk_c7 = sF12(identity),
    inference(superposition,[],[f58,f1]) ).

fof(f58,plain,
    ! [X6] : multiply(X6,sk_c7) = sF12(X6),
    introduced(function_definition,[]) ).

fof(f452,plain,
    ( multiply(sk_c5,sk_c8) = sF12(identity)
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f451,f402]) ).

fof(f451,plain,
    ( multiply(sk_c5,sk_c8) = sF12(sk_c6)
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f450,f281]) ).

fof(f281,plain,
    ( sk_c8 = sF11(sk_c4)
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl15_23
  <=> sk_c8 = sF11(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f450,plain,
    ( sF12(sk_c6) = multiply(sk_c5,sF11(sk_c4))
    | ~ spl15_3
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f439,f58]) ).

fof(f439,plain,
    ( multiply(sk_c5,sF11(sk_c4)) = multiply(sk_c6,sk_c7)
    | ~ spl15_3
    | ~ spl15_6 ),
    inference(superposition,[],[f322,f192]) ).

fof(f192,plain,
    ( multiply(sk_c8,sk_c7) = sF11(sk_c4)
    | ~ spl15_3 ),
    inference(forward_demodulation,[],[f185,f85]) ).

fof(f85,plain,
    ( sk_c8 = sF7
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl15_3
  <=> sk_c8 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f185,plain,
    multiply(sF7,sk_c7) = sF11(sk_c4),
    inference(superposition,[],[f57,f47]) ).

fof(f47,plain,
    inverse(sk_c4) = sF7,
    introduced(function_definition,[]) ).

fof(f322,plain,
    ( ! [X29] : multiply(sk_c5,multiply(sk_c8,X29)) = multiply(sk_c6,X29)
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f303,f99]) ).

fof(f303,plain,
    ! [X29] : multiply(sk_c5,multiply(sk_c8,X29)) = multiply(sF0,X29),
    inference(superposition,[],[f3,f32]) ).

fof(f428,plain,
    ( spl15_23
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f423,f240,f116,f83,f280]) ).

fof(f116,plain,
    ( spl15_10
  <=> sk_c8 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f423,plain,
    ( sk_c8 = sF11(sk_c4)
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f422,f241]) ).

fof(f422,plain,
    ( sk_c7 = sF11(sk_c4)
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f420,f337]) ).

fof(f337,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl15_3
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f333,f164]) ).

fof(f164,plain,
    ( sk_c8 = sF12(sk_c4)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f157,f118]) ).

fof(f118,plain,
    ( sk_c8 = sF5
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f157,plain,
    sF5 = sF12(sk_c4),
    inference(superposition,[],[f58,f40]) ).

fof(f40,plain,
    multiply(sk_c4,sk_c7) = sF5,
    introduced(function_definition,[]) ).

fof(f333,plain,
    ( sk_c7 = multiply(sk_c8,sF12(sk_c4))
    | ~ spl15_3 ),
    inference(superposition,[],[f321,f58]) ).

fof(f321,plain,
    ( ! [X20] : multiply(sk_c8,multiply(sk_c4,X20)) = X20
    | ~ spl15_3 ),
    inference(forward_demodulation,[],[f295,f1]) ).

fof(f295,plain,
    ( ! [X20] : multiply(sk_c8,multiply(sk_c4,X20)) = multiply(identity,X20)
    | ~ spl15_3 ),
    inference(superposition,[],[f3,f152]) ).

fof(f152,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl15_3 ),
    inference(forward_demodulation,[],[f149,f85]) ).

fof(f149,plain,
    identity = multiply(sF7,sk_c4),
    inference(superposition,[],[f2,f47]) ).

fof(f420,plain,
    ( sF11(sk_c4) = multiply(sk_c8,sk_c8)
    | ~ spl15_3
    | ~ spl15_19 ),
    inference(superposition,[],[f192,f241]) ).

fof(f410,plain,
    ( spl15_19
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f404,f107,f97,f78,f240]) ).

fof(f78,plain,
    ( spl15_2
  <=> sk_c7 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f404,plain,
    ( sk_c8 = sk_c7
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(superposition,[],[f398,f80]) ).

fof(f80,plain,
    ( sk_c7 = sF2
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f398,plain,
    ( sk_c8 = sF2
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(superposition,[],[f394,f35]) ).

fof(f35,plain,
    multiply(sk_c8,sk_c6) = sF2,
    introduced(function_definition,[]) ).

fof(f283,plain,
    ( ~ spl15_22
    | ~ spl15_23
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f274,f141,f107,f97,f83,f280,f276]) ).

fof(f274,plain,
    ( sk_c8 != sF11(sk_c4)
    | sk_c8 != sk_c6
    | ~ spl15_3
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f268,f183]) ).

fof(f183,plain,
    ( sk_c6 = sF10(sk_c5)
    | ~ spl15_6
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f182,f99]) ).

fof(f182,plain,
    ( sF0 = sF10(sk_c5)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f181,f32]) ).

fof(f181,plain,
    ( multiply(sk_c5,sk_c8) = sF10(sk_c5)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f176,f109]) ).

fof(f176,plain,
    sF10(sk_c5) = multiply(sk_c5,sF6),
    inference(superposition,[],[f56,f42]) ).

fof(f268,plain,
    ( sk_c8 != sF11(sk_c4)
    | sk_c8 != sF10(sk_c5)
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_13 ),
    inference(superposition,[],[f142,f194]) ).

fof(f194,plain,
    ( sF11(sk_c4) = sF11(sk_c5)
    | ~ spl15_3
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f193,f192]) ).

fof(f193,plain,
    ( multiply(sk_c8,sk_c7) = sF11(sk_c5)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f186,f109]) ).

fof(f186,plain,
    multiply(sF6,sk_c7) = sF11(sk_c5),
    inference(superposition,[],[f57,f42]) ).

fof(f251,plain,
    ( ~ spl15_3
    | ~ spl15_10
    | ~ spl15_12 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_12 ),
    inference(subsumption_resolution,[],[f249,f85]) ).

fof(f249,plain,
    ( sk_c8 != sF7
    | ~ spl15_10
    | ~ spl15_12 ),
    inference(superposition,[],[f224,f47]) ).

fof(f224,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl15_10
    | ~ spl15_12 ),
    inference(trivial_inequality_removal,[],[f222]) ).

fof(f222,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c4)
    | ~ spl15_10
    | ~ spl15_12 ),
    inference(superposition,[],[f139,f164]) ).

fof(f139,plain,
    ( ! [X6] :
        ( sk_c8 != sF12(X6)
        | sk_c8 != inverse(X6) )
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl15_12
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != sF12(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f229,plain,
    ( ~ spl15_7
    | ~ spl15_16
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f223,f138,f226,f101]) ).

fof(f223,plain,
    ( sk_c8 != inverse(sk_c3)
    | sk_c8 != sF8
    | ~ spl15_12 ),
    inference(superposition,[],[f139,f163]) ).

fof(f163,plain,
    sF12(sk_c3) = sF8,
    inference(superposition,[],[f48,f58]) ).

fof(f215,plain,
    ( ~ spl15_2
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_11 ),
    inference(avatar_contradiction_clause,[],[f214]) ).

fof(f214,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_8
    | ~ spl15_11 ),
    inference(subsumption_resolution,[],[f213,f109]) ).

fof(f213,plain,
    ( sk_c8 != sF6
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_11 ),
    inference(superposition,[],[f203,f42]) ).

fof(f203,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_11 ),
    inference(trivial_inequality_removal,[],[f201]) ).

fof(f201,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c5)
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_11 ),
    inference(superposition,[],[f136,f198]) ).

fof(f198,plain,
    ( sk_c7 = sF14(sk_c5)
    | ~ spl15_2
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f197,f80]) ).

fof(f197,plain,
    ( sF2 = sF14(sk_c5)
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f195,f35]) ).

fof(f195,plain,
    ( multiply(sk_c8,sk_c6) = sF14(sk_c5)
    | ~ spl15_6 ),
    inference(superposition,[],[f60,f172]) ).

fof(f172,plain,
    ( sk_c6 = sF13(sk_c5)
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f168,f99]) ).

fof(f168,plain,
    sF0 = sF13(sk_c5),
    inference(superposition,[],[f59,f32]) ).

fof(f147,plain,
    ( spl15_9
    | spl15_10 ),
    inference(avatar_split_clause,[],[f46,f116,f111]) ).

fof(f46,plain,
    ( sk_c8 = sF5
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f5,f33,f40]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f146,plain,
    ( spl15_6
    | spl15_9 ),
    inference(avatar_split_clause,[],[f34,f111,f97]) ).

fof(f34,plain,
    ( sk_c8 = sF1
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f7,f33,f32]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f145,plain,
    ( spl15_7
    | spl15_8 ),
    inference(avatar_split_clause,[],[f62,f107,f101]) ).

fof(f62,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f28,f48,f42]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f144,plain,
    ( spl15_10
    | spl15_7 ),
    inference(avatar_split_clause,[],[f69,f101,f116]) ).

fof(f69,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f25,f48,f40]) ).

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

fof(f143,plain,
    ( spl15_11
    | spl15_12
    | spl15_13
    | spl15_12 ),
    inference(avatar_split_clause,[],[f61,f138,f141,f138,f135]) ).

fof(f61,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != sF12(X5)
      | sk_c8 != sF11(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c8 != sF12(X6)
      | sk_c8 != inverse(X8)
      | sk_c7 != sF14(X8)
      | sk_c8 != sF10(X3) ),
    inference(definition_folding,[],[f31,f60,f59,f58,f58,f57,f56]) ).

fof(f31,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != inverse(X6)
      | sk_c8 != multiply(X3,inverse(X3))
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != inverse(X8) ),
    inference(equality_resolution,[],[f30]) ).

fof(f30,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != inverse(X6)
      | sk_c8 != multiply(X3,inverse(X3))
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(X8,sk_c8) != X7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != inverse(X8) ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X6)
      | sk_c8 != multiply(X3,X4)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != multiply(X6,sk_c7)
      | inverse(X3) != X4
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(X8,sk_c8) != X7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != inverse(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f133,plain,
    ( spl15_9
    | spl15_2 ),
    inference(avatar_split_clause,[],[f45,f78,f111]) ).

fof(f45,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF1 ),
    inference(definition_folding,[],[f6,f35,f33]) ).

fof(f6,axiom,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f132,plain,
    ( spl15_8
    | spl15_4 ),
    inference(avatar_split_clause,[],[f51,f87,f107]) ).

fof(f51,plain,
    ( sk_c8 = sF4
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f18,f42,f38]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f131,plain,
    ( spl15_7
    | spl15_2 ),
    inference(avatar_split_clause,[],[f50,f78,f101]) ).

fof(f50,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f26,f48,f35]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f130,plain,
    ( spl15_3
    | spl15_9 ),
    inference(avatar_split_clause,[],[f53,f111,f83]) ).

fof(f53,plain,
    ( sk_c8 = sF1
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f4,f33,f47]) ).

fof(f4,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f129,plain,
    ( spl15_6
    | spl15_1 ),
    inference(avatar_split_clause,[],[f64,f74,f97]) ).

fof(f64,plain,
    ( sk_c8 = sF9
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f22,f32,f54]) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f128,plain,
    ( spl15_5
    | spl15_2 ),
    inference(avatar_split_clause,[],[f37,f78,f92]) ).

fof(f37,plain,
    ( sk_c7 = sF2
    | sk_c2 = sF3 ),
    inference(definition_folding,[],[f11,f36,f35]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f127,plain,
    ( spl15_4
    | spl15_10 ),
    inference(avatar_split_clause,[],[f65,f116,f87]) ).

fof(f65,plain,
    ( sk_c8 = sF5
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f15,f38,f40]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f125,plain,
    ( spl15_1
    | spl15_8 ),
    inference(avatar_split_clause,[],[f71,f107,f74]) ).

fof(f71,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f23,f54,f42]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f124,plain,
    ( spl15_3
    | spl15_7 ),
    inference(avatar_split_clause,[],[f49,f101,f83]) ).

fof(f49,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f24,f48,f47]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f123,plain,
    ( spl15_4
    | spl15_6 ),
    inference(avatar_split_clause,[],[f39,f97,f87]) ).

fof(f39,plain,
    ( sk_c6 = sF0
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f17,f38,f32]) ).

fof(f17,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f122,plain,
    ( spl15_6
    | spl15_5 ),
    inference(avatar_split_clause,[],[f44,f92,f97]) ).

fof(f44,plain,
    ( sk_c2 = sF3
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f12,f32,f36]) ).

fof(f12,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f121,plain,
    ( spl15_8
    | spl15_5 ),
    inference(avatar_split_clause,[],[f52,f92,f107]) ).

fof(f52,plain,
    ( sk_c2 = sF3
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f13,f42,f36]) ).

fof(f13,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f120,plain,
    ( spl15_5
    | spl15_10 ),
    inference(avatar_split_clause,[],[f41,f116,f92]) ).

fof(f41,plain,
    ( sk_c8 = sF5
    | sk_c2 = sF3 ),
    inference(definition_folding,[],[f10,f40,f36]) ).

fof(f10,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f119,plain,
    ( spl15_10
    | spl15_1 ),
    inference(avatar_split_clause,[],[f66,f74,f116]) ).

fof(f66,plain,
    ( sk_c8 = sF9
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f20,f40,f54]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f114,plain,
    ( spl15_8
    | spl15_9 ),
    inference(avatar_split_clause,[],[f43,f111,f107]) ).

fof(f43,plain,
    ( sk_c8 = sF1
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f8,f42,f33]) ).

fof(f8,axiom,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f105,plain,
    ( spl15_1
    | spl15_3 ),
    inference(avatar_split_clause,[],[f68,f83,f74]) ).

fof(f68,plain,
    ( sk_c8 = sF7
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f19,f54,f47]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f104,plain,
    ( spl15_6
    | spl15_7 ),
    inference(avatar_split_clause,[],[f70,f101,f97]) ).

fof(f70,plain,
    ( sk_c8 = sF8
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f27,f48,f32]) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f95,plain,
    ( spl15_5
    | spl15_3 ),
    inference(avatar_split_clause,[],[f72,f83,f92]) ).

fof(f72,plain,
    ( sk_c8 = sF7
    | sk_c2 = sF3 ),
    inference(definition_folding,[],[f9,f47,f36]) ).

fof(f9,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f90,plain,
    ( spl15_3
    | spl15_4 ),
    inference(avatar_split_clause,[],[f63,f87,f83]) ).

fof(f63,plain,
    ( sk_c8 = sF4
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f14,f38,f47]) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f81,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f55,f78,f74]) ).

fof(f55,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f21,f35,f54]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP211-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:43:15 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (15809)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (15801)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49  % (15813)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49  % (15805)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (15821)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.51  % (15817)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (15820)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (15800)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (15798)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (15809)First to succeed.
% 0.19/0.52  % (15799)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (15818)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (15810)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (15797)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (15812)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (15804)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (15808)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (15822)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (15796)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  % (15804)Instruction limit reached!
% 0.19/0.53  % (15804)------------------------------
% 0.19/0.53  % (15804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15809)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (15809)------------------------------
% 0.19/0.53  % (15809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15809)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (15809)Memory used [KB]: 6012
% 0.19/0.53  % (15809)Time elapsed: 0.123 s
% 0.19/0.53  % (15809)Instructions burned: 29 (million)
% 0.19/0.53  % (15809)------------------------------
% 0.19/0.53  % (15809)------------------------------
% 0.19/0.53  % (15795)Success in time 0.186 s
%------------------------------------------------------------------------------