TSTP Solution File: GRP253-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP253-1 : 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 : n015.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 16:21:03 EDT 2022

% Result   : Unsatisfiable 1.50s 0.56s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  119 (   6 unt;   0 def)
%            Number of atoms       :  325 ( 135 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  402 ( 196   ~; 185   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  22 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f545,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f51,f59,f68,f85,f86,f88,f92,f93,f101,f105,f124,f152,f206,f235,f288,f289,f375,f377,f421,f427,f438,f543]) ).

fof(f543,plain,
    ( ~ spl3_1
    | ~ spl3_16
    | spl3_17 ),
    inference(avatar_contradiction_clause,[],[f542]) ).

fof(f542,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_16
    | spl3_17 ),
    inference(subsumption_resolution,[],[f535,f32]) ).

fof(f32,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl3_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f535,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl3_1
    | ~ spl3_16
    | spl3_17 ),
    inference(backward_demodulation,[],[f121,f527]) ).

fof(f527,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(superposition,[],[f499,f264]) ).

fof(f264,plain,
    ( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
    | ~ spl3_16 ),
    inference(superposition,[],[f162,f208]) ).

fof(f208,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c6
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f2,f116]) ).

fof(f116,plain,
    ( identity = sk_c6
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl3_16
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

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

fof(f162,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f155,f1]) ).

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

fof(f155,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(f499,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(superposition,[],[f162,f454]) ).

fof(f454,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(superposition,[],[f162,f384]) ).

fof(f384,plain,
    ( sk_c1 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f334,f116]) ).

fof(f334,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl3_1 ),
    inference(superposition,[],[f162,f328]) ).

fof(f328,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl3_1 ),
    inference(superposition,[],[f2,f32]) ).

fof(f121,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | spl3_17 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl3_17
  <=> sk_c7 = inverse(inverse(sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f438,plain,
    ( spl3_20
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f408,f115,f39,f138]) ).

fof(f138,plain,
    ( spl3_20
  <=> sk_c6 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f39,plain,
    ( spl3_3
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f408,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f41,f400]) ).

fof(f400,plain,
    ( sk_c6 = sk_c2
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(superposition,[],[f294,f207]) ).

fof(f207,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f1,f116]) ).

fof(f294,plain,
    ( sk_c6 = multiply(sk_c6,sk_c2)
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(superposition,[],[f208,f41]) ).

fof(f41,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f427,plain,
    ( ~ spl3_17
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f426,f115,f57,f119]) ).

fof(f57,plain,
    ( spl3_7
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f426,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f111,f116]) ).

fof(f111,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | identity != sk_c6
    | ~ spl3_7 ),
    inference(superposition,[],[f58,f2]) ).

fof(f58,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f421,plain,
    ( spl3_20
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f245,f147,f61,f138]) ).

fof(f61,plain,
    ( spl3_8
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f147,plain,
    ( spl3_22
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f245,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f63,f148]) ).

fof(f148,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f63,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f377,plain,
    ( spl3_22
    | ~ spl3_9
    | ~ spl3_10
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f313,f115,f70,f65,f147]) ).

fof(f65,plain,
    ( spl3_9
  <=> sk_c6 = multiply(sk_c3,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f70,plain,
    ( spl3_10
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f313,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_9
    | ~ spl3_10
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f312,f207]) ).

fof(f312,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl3_9
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f310,f72]) ).

fof(f72,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f310,plain,
    ( sk_c5 = multiply(inverse(sk_c3),sk_c6)
    | ~ spl3_9 ),
    inference(superposition,[],[f162,f67]) ).

fof(f67,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f375,plain,
    ( spl3_16
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f362,f48,f30,f115]) ).

fof(f48,plain,
    ( spl3_5
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f362,plain,
    ( identity = sk_c6
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(superposition,[],[f322,f2]) ).

fof(f322,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(superposition,[],[f162,f300]) ).

fof(f300,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f298,f32]) ).

fof(f298,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl3_5 ),
    inference(superposition,[],[f162,f50]) ).

fof(f50,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f289,plain,
    ( ~ spl3_20
    | ~ spl3_15
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f271,f147,f115,f103,f138]) ).

fof(f103,plain,
    ( spl3_15
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f271,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl3_15
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(trivial_inequality_removal,[],[f270]) ).

fof(f270,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c6)
    | ~ spl3_15
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(superposition,[],[f251,f207]) ).

fof(f251,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f104,f148]) ).

fof(f104,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f288,plain,
    ( ~ spl3_20
    | spl3_8
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f287,f147,f61,f138]) ).

fof(f287,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f62,f148]) ).

fof(f62,plain,
    ( sk_c6 != inverse(sk_c5)
    | spl3_8 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f235,plain,
    ( spl3_22
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f223,f115,f61,f147]) ).

fof(f223,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(superposition,[],[f207,f210]) ).

fof(f210,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f109,f116]) ).

fof(f109,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl3_8 ),
    inference(superposition,[],[f2,f63]) ).

fof(f206,plain,
    ( spl3_16
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f196,f43,f34,f115]) ).

fof(f34,plain,
    ( spl3_2
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f43,plain,
    ( spl3_4
  <=> sk_c6 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f196,plain,
    ( identity = sk_c6
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(superposition,[],[f183,f2]) ).

fof(f183,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(superposition,[],[f162,f181]) ).

fof(f181,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f179,f36]) ).

fof(f36,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f179,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl3_4 ),
    inference(superposition,[],[f162,f45]) ).

fof(f45,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f152,plain,
    ( ~ spl3_20
    | ~ spl3_16
    | ~ spl3_8
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f151,f99,f61,f115,f138]) ).

fof(f99,plain,
    ( spl3_14
  <=> ! [X5] :
        ( sk_c6 != multiply(X5,sk_c5)
        | sk_c6 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f151,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(sk_c6)
    | ~ spl3_8
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f135,f63]) ).

fof(f135,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(inverse(sk_c5))
    | ~ spl3_14 ),
    inference(superposition,[],[f100,f2]) ).

fof(f100,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c5)
        | sk_c6 != inverse(X5) )
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f124,plain,
    ( ~ spl3_2
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f113,f36]) ).

fof(f113,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(trivial_inequality_removal,[],[f112]) ).

fof(f112,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c4)
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(superposition,[],[f58,f45]) ).

fof(f105,plain,
    ( spl3_13
    | spl3_15 ),
    inference(avatar_split_clause,[],[f27,f103,f95]) ).

fof(f95,plain,
    ( spl3_13
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f27,plain,
    ! [X4] :
      ( sk_c6 != inverse(X4)
      | sP2
      | sk_c5 != multiply(X4,sk_c6) ),
    inference(cnf_transformation,[],[f27_D]) ).

fof(f27_D,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f101,plain,
    ( ~ spl3_13
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_12
    | spl3_14 ),
    inference(avatar_split_clause,[],[f28,f99,f82,f61,f53,f95]) ).

fof(f53,plain,
    ( spl3_6
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f82,plain,
    ( spl3_12
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f28,plain,
    ! [X5] :
      ( sk_c6 != multiply(X5,sk_c5)
      | ~ sP1
      | sk_c6 != inverse(sk_c5)
      | ~ sP0
      | sk_c6 != inverse(X5)
      | ~ sP2 ),
    inference(general_splitting,[],[f26,f27_D]) ).

fof(f26,plain,
    ! [X4,X5] :
      ( sk_c6 != inverse(sk_c5)
      | sk_c6 != multiply(X5,sk_c5)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4)
      | sk_c6 != inverse(X5)
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f24,f25_D]) ).

fof(f25,plain,
    ! [X6] :
      ( sP1
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(X6,sk_c7) ),
    inference(cnf_transformation,[],[f25_D]) ).

fof(f25_D,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f24,plain,
    ! [X6,X4,X5] :
      ( sk_c6 != inverse(sk_c5)
      | sk_c6 != multiply(X5,sk_c5)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4)
      | sk_c6 != inverse(X5)
      | ~ sP0 ),
    inference(general_splitting,[],[f22,f23_D]) ).

fof(f23,plain,
    ! [X3] :
      ( sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | sP0 ),
    inference(cnf_transformation,[],[f23_D]) ).

fof(f23_D,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f22,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != inverse(sk_c5)
      | sk_c6 != multiply(X5,sk_c5)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4)
      | sk_c6 != inverse(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f93,plain,
    ( spl3_10
    | spl3_8 ),
    inference(avatar_split_clause,[],[f18,f61,f70]) ).

fof(f18,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f92,plain,
    ( spl3_3
    | spl3_8 ),
    inference(avatar_split_clause,[],[f15,f61,f39]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f88,plain,
    ( spl3_5
    | spl3_4 ),
    inference(avatar_split_clause,[],[f4,f43,f48]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f86,plain,
    ( spl3_1
    | spl3_4 ),
    inference(avatar_split_clause,[],[f7,f43,f30]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f85,plain,
    ( spl3_7
    | spl3_12 ),
    inference(avatar_split_clause,[],[f25,f82,f57]) ).

fof(f68,plain,
    ( spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f21,f65,f61]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f59,plain,
    ( spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f23,f57,f53]) ).

fof(f51,plain,
    ( spl3_2
    | spl3_5 ),
    inference(avatar_split_clause,[],[f5,f48,f34]) ).

fof(f5,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f37,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f8,f34,f30]) ).

fof(f8,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP253-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:34:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  % (25387)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50  % (25385)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (25376)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)
% 0.21/0.51  % (25402)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.52  % (25390)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)
% 0.21/0.52  % (25373)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)
% 0.21/0.52  % (25374)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)
% 0.21/0.52  % (25379)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (25398)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53  % (25377)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (25386)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (25382)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (25396)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  % (25375)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)
% 0.21/0.53  % (25389)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53  % (25378)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)
% 0.21/0.53  TRYING [3]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (25388)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)
% 0.21/0.54  % (25401)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)
% 0.21/0.54  % (25380)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (25397)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)
% 0.21/0.54  % (25394)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (25384)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (25391)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  TRYING [4]
% 1.50/0.55  TRYING [4]
% 1.50/0.55  % (25404)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.50/0.55  % (25383)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)
% 1.50/0.55  % (25399)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.55  % (25382)Instruction limit reached!
% 1.50/0.55  % (25382)------------------------------
% 1.50/0.55  % (25382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (25382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (25382)Termination reason: Unknown
% 1.50/0.55  % (25382)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (25382)Memory used [KB]: 5500
% 1.50/0.55  % (25382)Time elapsed: 0.151 s
% 1.50/0.55  % (25382)Instructions burned: 3 (million)
% 1.50/0.55  % (25382)------------------------------
% 1.50/0.55  % (25382)------------------------------
% 1.50/0.55  % (25392)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.56  % (25395)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.56  % (25403)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.56  % (25378)First to succeed.
% 1.50/0.56  % (25380)Instruction limit reached!
% 1.50/0.56  % (25380)------------------------------
% 1.50/0.56  % (25380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (25380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (25378)Refutation found. Thanks to Tanya!
% 1.50/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56  % (25378)------------------------------
% 1.50/0.56  % (25378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (25378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (25378)Termination reason: Refutation
% 1.50/0.56  
% 1.50/0.56  % (25378)Memory used [KB]: 5628
% 1.50/0.56  % (25378)Time elapsed: 0.162 s
% 1.50/0.56  % (25378)Instructions burned: 16 (million)
% 1.50/0.56  % (25378)------------------------------
% 1.50/0.56  % (25378)------------------------------
% 1.50/0.56  % (25369)Success in time 0.207 s
%------------------------------------------------------------------------------