TSTP Solution File: GRP391-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP391-1 : 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 : n021.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 16:21:31 EDT 2022

% Result   : Unsatisfiable 1.76s 0.58s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  214 (   6 unt;   0 def)
%            Number of atoms       :  738 ( 247 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1020 ( 496   ~; 498   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  27 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f773,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f59,f74,f82,f87,f97,f105,f110,f113,f122,f123,f125,f126,f127,f128,f129,f131,f132,f136,f137,f139,f141,f142,f143,f160,f179,f234,f237,f323,f331,f441,f465,f551,f558,f579,f666,f672,f748,f760,f772]) ).

fof(f772,plain,
    ( ~ spl3_19
    | ~ spl3_1
    | ~ spl3_10
    | spl3_24 ),
    inference(avatar_split_clause,[],[f728,f175,f84,f43,f153]) ).

fof(f153,plain,
    ( spl3_19
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f43,plain,
    ( spl3_1
  <=> sk_c2 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f84,plain,
    ( spl3_10
  <=> sk_c8 = multiply(sk_c1,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f175,plain,
    ( spl3_24
  <=> sk_c6 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f728,plain,
    ( identity != sk_c6
    | ~ spl3_1
    | ~ spl3_10
    | spl3_24 ),
    inference(backward_demodulation,[],[f177,f724]) ).

fof(f724,plain,
    ( identity = sk_c8
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f722,f2]) ).

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

fof(f722,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(superposition,[],[f190,f692]) ).

fof(f692,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f690,f45]) ).

fof(f45,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f690,plain,
    ( sk_c2 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl3_10 ),
    inference(superposition,[],[f190,f86]) ).

fof(f86,plain,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f190,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f182,f1]) ).

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

fof(f182,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f177,plain,
    ( sk_c6 != sk_c8
    | spl3_24 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f760,plain,
    ( ~ spl3_19
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10
    | spl3_25 ),
    inference(avatar_split_clause,[],[f750,f544,f84,f71,f43,f153]) ).

fof(f71,plain,
    ( spl3_7
  <=> inverse(sk_c6) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f544,plain,
    ( spl3_25
  <=> sk_c6 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f750,plain,
    ( identity != sk_c6
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10
    | spl3_25 ),
    inference(backward_demodulation,[],[f546,f726]) ).

fof(f726,plain,
    ( identity = inverse(sk_c6)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(backward_demodulation,[],[f73,f724]) ).

fof(f73,plain,
    ( inverse(sk_c6) = sk_c8
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f546,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl3_25 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f748,plain,
    ( spl3_19
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f747,f84,f71,f43,f153]) ).

fof(f747,plain,
    ( identity = sk_c6
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f737,f2]) ).

fof(f737,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(backward_demodulation,[],[f714,f724]) ).

fof(f714,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl3_7 ),
    inference(superposition,[],[f190,f687]) ).

fof(f687,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl3_7 ),
    inference(superposition,[],[f2,f73]) ).

fof(f672,plain,
    ( ~ spl3_19
    | ~ spl3_7
    | ~ spl3_19
    | spl3_20
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f671,f175,f157,f153,f71,f153]) ).

fof(f157,plain,
    ( spl3_20
  <=> sk_c6 = inverse(inverse(sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f671,plain,
    ( identity != sk_c6
    | ~ spl3_7
    | ~ spl3_19
    | spl3_20
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f670,f630]) ).

fof(f630,plain,
    ( identity = inverse(identity)
    | ~ spl3_7
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f478,f154]) ).

fof(f154,plain,
    ( identity = sk_c6
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f478,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f73,f176]) ).

fof(f176,plain,
    ( sk_c6 = sk_c8
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f670,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl3_7
    | ~ spl3_19
    | spl3_20
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f669,f630]) ).

fof(f669,plain,
    ( sk_c6 != inverse(inverse(identity))
    | ~ spl3_19
    | spl3_20
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f159,f628]) ).

fof(f628,plain,
    ( identity = sk_c8
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f176,f154]) ).

fof(f159,plain,
    ( sk_c6 != inverse(inverse(sk_c8))
    | spl3_20 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f666,plain,
    ( ~ spl3_19
    | spl3_21
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f561,f548,f162,f153]) ).

fof(f162,plain,
    ( spl3_21
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f548,plain,
    ( spl3_26
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f561,plain,
    ( identity != sk_c6
    | spl3_21
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f164,f549]) ).

fof(f549,plain,
    ( identity = sk_c7
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f164,plain,
    ( sk_c6 != sk_c7
    | spl3_21 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f579,plain,
    ( ~ spl3_7
    | ~ spl3_24
    | spl3_25 ),
    inference(avatar_contradiction_clause,[],[f578]) ).

fof(f578,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_24
    | spl3_25 ),
    inference(trivial_inequality_removal,[],[f577]) ).

fof(f577,plain,
    ( sk_c6 != sk_c6
    | ~ spl3_7
    | ~ spl3_24
    | spl3_25 ),
    inference(superposition,[],[f546,f478]) ).

fof(f558,plain,
    ( spl3_26
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f557,f175,f56,f548]) ).

fof(f56,plain,
    ( spl3_4
  <=> sk_c8 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f557,plain,
    ( identity = sk_c7
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f555,f2]) ).

fof(f555,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(superposition,[],[f190,f554]) ).

fof(f554,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f58,f176]) ).

fof(f58,plain,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f551,plain,
    ( ~ spl3_25
    | ~ spl3_26
    | ~ spl3_7
    | ~ spl3_18
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f542,f175,f134,f71,f548,f544]) ).

fof(f134,plain,
    ( spl3_18
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f542,plain,
    ( identity != sk_c7
    | sk_c6 != inverse(sk_c6)
    | ~ spl3_7
    | ~ spl3_18
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f538,f478]) ).

fof(f538,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | identity != sk_c7
    | ~ spl3_18
    | ~ spl3_24 ),
    inference(superposition,[],[f522,f2]) ).

fof(f522,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl3_18
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f521,f176]) ).

fof(f521,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) )
    | ~ spl3_18
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f135,f176]) ).

fof(f135,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) )
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f465,plain,
    ( ~ spl3_7
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f464,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(trivial_inequality_removal,[],[f463]) ).

fof(f463,plain,
    ( identity != identity
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(superposition,[],[f461,f336]) ).

fof(f336,plain,
    ( identity = inverse(identity)
    | ~ spl3_7
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f335,f154]) ).

fof(f335,plain,
    ( identity = inverse(sk_c6)
    | ~ spl3_7
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f73,f269]) ).

fof(f269,plain,
    ( identity = sk_c8
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f176,f154]) ).

fof(f461,plain,
    ( identity != inverse(identity)
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(trivial_inequality_removal,[],[f457]) ).

fof(f457,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(superposition,[],[f456,f1]) ).

fof(f456,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f455,f372]) ).

fof(f372,plain,
    ( identity = sk_c7
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f163,f154]) ).

fof(f163,plain,
    ( sk_c6 = sk_c7
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f455,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f454,f154]) ).

fof(f454,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl3_14
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f104,f372]) ).

fof(f104,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl3_14
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f441,plain,
    ( ~ spl3_7
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f440]) ).

fof(f440,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(trivial_inequality_removal,[],[f439]) ).

fof(f439,plain,
    ( identity != identity
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(superposition,[],[f438,f1]) ).

fof(f438,plain,
    ( identity != multiply(identity,identity)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f437,f336]) ).

fof(f437,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(trivial_inequality_removal,[],[f435]) ).

fof(f435,plain,
    ( identity != multiply(identity,inverse(identity))
    | identity != identity
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(superposition,[],[f375,f2]) ).

fof(f375,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f369,f372]) ).

fof(f369,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),sk_c7)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f358,f269]) ).

fof(f358,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(X3))
        | sk_c8 != multiply(inverse(X3),sk_c7) )
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f81,f269]) ).

fof(f81,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c7)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl3_9
  <=> ! [X3] :
        ( sk_c8 != multiply(X3,inverse(X3))
        | sk_c8 != multiply(inverse(X3),sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f331,plain,
    ( ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | spl3_7
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | spl3_7
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(trivial_inequality_removal,[],[f329]) ).

fof(f329,plain,
    ( identity != identity
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | spl3_7
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(superposition,[],[f328,f299]) ).

fof(f299,plain,
    ( identity = inverse(identity)
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f289,f297]) ).

fof(f297,plain,
    ( identity = sk_c4
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f292,f2]) ).

fof(f292,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f204,f288]) ).

fof(f288,plain,
    ( identity = sk_c7
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f270,f286]) ).

fof(f286,plain,
    ( ! [X10] : multiply(sk_c7,X10) = X10
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f281,f1]) ).

fof(f281,plain,
    ( ! [X10] : multiply(sk_c7,X10) = multiply(identity,X10)
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f260,f154]) ).

fof(f260,plain,
    ( ! [X10] : multiply(sk_c7,X10) = multiply(sk_c6,X10)
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f243,f257]) ).

fof(f257,plain,
    ( ! [X13] : multiply(sk_c3,multiply(sk_c6,X13)) = multiply(sk_c6,X13)
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f244,f252]) ).

fof(f252,plain,
    ( sk_c3 = sk_c5
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f201,f246]) ).

fof(f246,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f202,f176]) ).

fof(f202,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl3_6 ),
    inference(superposition,[],[f190,f144]) ).

fof(f144,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl3_6 ),
    inference(superposition,[],[f2,f67]) ).

fof(f67,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl3_6
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f201,plain,
    ( sk_c5 = multiply(inverse(sk_c6),identity)
    | ~ spl3_12 ),
    inference(superposition,[],[f190,f145]) ).

fof(f145,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl3_12 ),
    inference(superposition,[],[f2,f96]) ).

fof(f96,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl3_12
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f244,plain,
    ( ! [X13] : multiply(sk_c5,multiply(sk_c6,X13)) = multiply(sk_c6,X13)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f188,f176]) ).

fof(f188,plain,
    ( ! [X13] : multiply(sk_c5,multiply(sk_c8,X13)) = multiply(sk_c6,X13)
    | ~ spl3_3 ),
    inference(superposition,[],[f3,f54]) ).

fof(f54,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl3_3
  <=> sk_c6 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f243,plain,
    ( ! [X10] : multiply(sk_c7,X10) = multiply(sk_c3,multiply(sk_c6,X10))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f185,f176]) ).

fof(f185,plain,
    ( ! [X10] : multiply(sk_c3,multiply(sk_c8,X10)) = multiply(sk_c7,X10)
    | ~ spl3_11 ),
    inference(superposition,[],[f3,f91]) ).

fof(f91,plain,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl3_11
  <=> multiply(sk_c3,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f270,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl3_2
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f208,f154]) ).

fof(f208,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f205,f109]) ).

fof(f109,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl3_15
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f205,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl3_2 ),
    inference(superposition,[],[f190,f49]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl3_2
  <=> sk_c6 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f204,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl3_15 ),
    inference(superposition,[],[f190,f146]) ).

fof(f146,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl3_15 ),
    inference(superposition,[],[f2,f109]) ).

fof(f289,plain,
    ( identity = inverse(sk_c4)
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f109,f288]) ).

fof(f328,plain,
    ( identity != inverse(identity)
    | spl3_7
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f327,f154]) ).

fof(f327,plain,
    ( identity != inverse(sk_c6)
    | spl3_7
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f72,f269]) ).

fof(f72,plain,
    ( inverse(sk_c6) != sk_c8
    | spl3_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f323,plain,
    ( ~ spl3_2
    | ~ spl3_3
    | spl3_4
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f322,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_3
    | spl3_4
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(trivial_inequality_removal,[],[f321]) ).

fof(f321,plain,
    ( identity != identity
    | ~ spl3_2
    | ~ spl3_3
    | spl3_4
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f1]) ).

fof(f294,plain,
    ( identity != multiply(identity,identity)
    | ~ spl3_2
    | ~ spl3_3
    | spl3_4
    | ~ spl3_6
    | ~ spl3_11
    | ~ spl3_12
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f272,f288]) ).

fof(f272,plain,
    ( identity != multiply(identity,sk_c7)
    | spl3_4
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f239,f154]) ).

fof(f239,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | spl3_4
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f57,f176]) ).

fof(f57,plain,
    ( sk_c8 != multiply(sk_c6,sk_c7)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f237,plain,
    ( spl3_24
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_12
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f236,f107,f94,f52,f47,f175]) ).

fof(f236,plain,
    ( sk_c6 = sk_c8
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_12
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f235,f49]) ).

fof(f235,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_12
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f230,f209]) ).

fof(f209,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | ~ spl3_3
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f206,f96]) ).

fof(f206,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl3_3 ),
    inference(superposition,[],[f190,f54]) ).

fof(f230,plain,
    ( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(superposition,[],[f187,f208]) ).

fof(f187,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sk_c6,X12)
    | ~ spl3_2 ),
    inference(superposition,[],[f3,f49]) ).

fof(f234,plain,
    ( spl3_19
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f233,f107,f47,f153]) ).

fof(f233,plain,
    ( identity = sk_c6
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f231,f2]) ).

fof(f231,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(superposition,[],[f190,f208]) ).

fof(f179,plain,
    ( ~ spl3_12
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f151,f116,f52,f94]) ).

fof(f116,plain,
    ( spl3_16
  <=> ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f151,plain,
    ( sk_c6 != inverse(sk_c5)
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(trivial_inequality_removal,[],[f150]) ).

fof(f150,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c5)
    | ~ spl3_3
    | ~ spl3_16 ),
    inference(superposition,[],[f117,f54]) ).

fof(f117,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,sk_c8)
        | sk_c6 != inverse(X7) )
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f160,plain,
    ( ~ spl3_19
    | ~ spl3_20
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f148,f116,f157,f153]) ).

fof(f148,plain,
    ( sk_c6 != inverse(inverse(sk_c8))
    | identity != sk_c6
    | ~ spl3_16 ),
    inference(superposition,[],[f117,f2]) ).

fof(f143,plain,
    ( spl3_11
    | spl3_4 ),
    inference(avatar_split_clause,[],[f28,f56,f89]) ).

fof(f28,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f142,plain,
    ( spl3_3
    | spl3_7 ),
    inference(avatar_split_clause,[],[f9,f71,f52]) ).

fof(f9,axiom,
    ( inverse(sk_c6) = sk_c8
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f141,plain,
    ( spl3_1
    | spl3_12 ),
    inference(avatar_split_clause,[],[f20,f94,f43]) ).

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f139,plain,
    ( spl3_2
    | spl3_10 ),
    inference(avatar_split_clause,[],[f12,f84,f47]) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f137,plain,
    ( spl3_7
    | spl3_15 ),
    inference(avatar_split_clause,[],[f7,f107,f71]) ).

fof(f7,axiom,
    ( sk_c7 = inverse(sk_c4)
    | inverse(sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f136,plain,
    ( ~ spl3_17
    | spl3_18
    | ~ spl3_8
    | ~ spl3_7
    | ~ spl3_4
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f41,f99,f56,f71,f76,f134,f119]) ).

fof(f119,plain,
    ( spl3_17
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f76,plain,
    ( spl3_8
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f99,plain,
    ( spl3_13
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f41,plain,
    ! [X5] :
      ( ~ sP1
      | sk_c8 != multiply(sk_c6,sk_c7)
      | inverse(sk_c6) != sk_c8
      | ~ sP0
      | sk_c8 != inverse(X5)
      | ~ sP2
      | sk_c7 != multiply(X5,sk_c8) ),
    inference(general_splitting,[],[f39,f40_D]) ).

fof(f40,plain,
    ! [X7] :
      ( sP2
      | sk_c6 != inverse(X7)
      | sk_c6 != multiply(X7,sk_c8) ),
    inference(cnf_transformation,[],[f40_D]) ).

fof(f40_D,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f39,plain,
    ! [X7,X5] :
      ( sk_c8 != multiply(sk_c6,sk_c7)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c8 != inverse(X5)
      | sk_c6 != multiply(X7,sk_c8)
      | inverse(sk_c6) != sk_c8
      | sk_c6 != inverse(X7)
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f37,f38_D]) ).

fof(f38,plain,
    ! [X6] :
      ( sk_c6 != multiply(X6,sk_c7)
      | sP1
      | sk_c7 != inverse(X6) ),
    inference(cnf_transformation,[],[f38_D]) ).

fof(f38_D,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f37,plain,
    ! [X6,X7,X5] :
      ( sk_c8 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c8 != inverse(X5)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c6 != multiply(X6,sk_c7)
      | inverse(sk_c6) != sk_c8
      | sk_c6 != inverse(X7)
      | ~ sP0 ),
    inference(general_splitting,[],[f35,f36_D]) ).

fof(f36,plain,
    ! [X3] :
      ( sk_c8 != multiply(X3,inverse(X3))
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sP0 ),
    inference(cnf_transformation,[],[f36_D]) ).

fof(f36_D,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,inverse(X3))
        | sk_c8 != multiply(inverse(X3),sk_c7) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f35,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c8 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sk_c8 != multiply(X3,inverse(X3))
      | sk_c8 != inverse(X5)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c6 != multiply(X6,sk_c7)
      | inverse(sk_c6) != sk_c8
      | sk_c6 != inverse(X7) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,X4)
      | sk_c8 != inverse(X5)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c6 != multiply(X6,sk_c7)
      | inverse(X3) != X4
      | inverse(sk_c6) != sk_c8
      | sk_c6 != inverse(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f132,plain,
    ( spl3_12
    | spl3_4 ),
    inference(avatar_split_clause,[],[f32,f56,f94]) ).

fof(f32,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f131,plain,
    ( spl3_6
    | spl3_4 ),
    inference(avatar_split_clause,[],[f29,f56,f65]) ).

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

fof(f129,plain,
    ( spl3_12
    | spl3_10 ),
    inference(avatar_split_clause,[],[f14,f84,f94]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f128,plain,
    ( spl3_4
    | spl3_15 ),
    inference(avatar_split_clause,[],[f31,f107,f56]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f127,plain,
    ( spl3_2
    | spl3_7 ),
    inference(avatar_split_clause,[],[f6,f71,f47]) ).

fof(f6,axiom,
    ( inverse(sk_c6) = sk_c8
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f126,plain,
    ( spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f21,f52,f43]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f125,plain,
    ( spl3_4
    | spl3_2 ),
    inference(avatar_split_clause,[],[f30,f47,f56]) ).

fof(f30,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f123,plain,
    ( spl3_11
    | spl3_7 ),
    inference(avatar_split_clause,[],[f4,f71,f89]) ).

fof(f4,axiom,
    ( inverse(sk_c6) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f122,plain,
    ( spl3_16
    | spl3_17 ),
    inference(avatar_split_clause,[],[f40,f119,f116]) ).

fof(f113,plain,
    ( spl3_15
    | spl3_10 ),
    inference(avatar_split_clause,[],[f13,f84,f107]) ).

fof(f13,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f110,plain,
    ( spl3_15
    | spl3_1 ),
    inference(avatar_split_clause,[],[f19,f43,f107]) ).

fof(f19,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f105,plain,
    ( spl3_13
    | spl3_14 ),
    inference(avatar_split_clause,[],[f38,f103,f99]) ).

fof(f97,plain,
    ( spl3_7
    | spl3_12 ),
    inference(avatar_split_clause,[],[f8,f94,f71]) ).

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

fof(f87,plain,
    ( spl3_3
    | spl3_10 ),
    inference(avatar_split_clause,[],[f15,f84,f52]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f82,plain,
    ( spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f36,f80,f76]) ).

fof(f74,plain,
    ( spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f5,f71,f65]) ).

fof(f5,axiom,
    ( inverse(sk_c6) = sk_c8
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f59,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f33,f56,f52]) ).

fof(f33,axiom,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f50,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f18,f47,f43]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP391-1 : 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_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:23:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (9998)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)
% 0.18/0.50  % (9990)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)
% 0.18/0.50  % (9982)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)
% 0.18/0.51  % (9977)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)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [2]
% 0.18/0.51  % (9980)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (9979)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)
% 0.18/0.52  % (9995)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)
% 0.18/0.52  % (9978)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)
% 0.18/0.52  % (9976)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)
% 0.18/0.52  TRYING [3]
% 0.18/0.52  % (9991)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)
% 0.18/0.52  % (10005)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)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  % (10002)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)
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (9981)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)
% 0.18/0.52  % (9999)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)
% 0.18/0.52  % (10001)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (9994)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (10004)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (9992)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)
% 0.18/0.53  % (9993)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (10003)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)
% 0.18/0.53  % (9986)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (9987)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)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (9997)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  TRYING [4]
% 0.18/0.53  % (9996)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)
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (9984)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (9984)Instruction limit reached!
% 0.18/0.53  % (9984)------------------------------
% 0.18/0.53  % (9984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (9984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (9984)Termination reason: Unknown
% 0.18/0.53  % (9984)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (9984)Memory used [KB]: 5373
% 0.18/0.53  % (9984)Time elapsed: 0.150 s
% 0.18/0.53  % (9984)Instructions burned: 3 (million)
% 0.18/0.53  % (9984)------------------------------
% 0.18/0.53  % (9984)------------------------------
% 0.18/0.54  % (10000)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  % (9983)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (9985)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)
% 0.18/0.54  % (9989)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (9988)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (9983)Instruction limit reached!
% 0.18/0.54  % (9983)------------------------------
% 0.18/0.54  % (9983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (9983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (9983)Termination reason: Unknown
% 0.18/0.54  % (9983)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (9983)Memory used [KB]: 5500
% 0.18/0.54  % (9983)Time elapsed: 0.152 s
% 0.18/0.54  % (9983)Instructions burned: 8 (million)
% 0.18/0.54  % (9983)------------------------------
% 0.18/0.54  % (9983)------------------------------
% 0.18/0.54  TRYING [3]
% 0.18/0.55  TRYING [4]
% 1.59/0.56  TRYING [3]
% 1.59/0.56  TRYING [4]
% 1.59/0.56  % (9986)First to succeed.
% 1.59/0.57  % (9982)Instruction limit reached!
% 1.59/0.57  % (9982)------------------------------
% 1.59/0.57  % (9982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (9982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (9982)Termination reason: Unknown
% 1.59/0.57  % (9982)Termination phase: Finite model building SAT solving
% 1.59/0.57  
% 1.59/0.57  % (9982)Memory used [KB]: 7036
% 1.59/0.57  % (9982)Time elapsed: 0.100 s
% 1.59/0.57  % (9982)Instructions burned: 51 (million)
% 1.59/0.57  % (9982)------------------------------
% 1.59/0.57  % (9982)------------------------------
% 1.76/0.57  % (9978)Instruction limit reached!
% 1.76/0.57  % (9978)------------------------------
% 1.76/0.57  % (9978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.57  % (9978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.57  % (9978)Termination reason: Unknown
% 1.76/0.57  % (9978)Termination phase: Saturation
% 1.76/0.57  
% 1.76/0.57  % (9978)Memory used [KB]: 1279
% 1.76/0.57  % (9978)Time elapsed: 0.166 s
% 1.76/0.57  % (9978)Instructions burned: 39 (million)
% 1.76/0.57  % (9978)------------------------------
% 1.76/0.57  % (9978)------------------------------
% 1.76/0.58  % (9986)Refutation found. Thanks to Tanya!
% 1.76/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58  % (9986)------------------------------
% 1.76/0.58  % (9986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (9986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (9986)Termination reason: Refutation
% 1.76/0.58  
% 1.76/0.58  % (9986)Memory used [KB]: 5756
% 1.76/0.58  % (9986)Time elapsed: 0.166 s
% 1.76/0.58  % (9986)Instructions burned: 22 (million)
% 1.76/0.58  % (9986)------------------------------
% 1.76/0.58  % (9986)------------------------------
% 1.76/0.58  % (9975)Success in time 0.234 s
%------------------------------------------------------------------------------