TSTP Solution File: GRP222-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP222-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 16:14:55 EDT 2022

% Result   : Unsatisfiable 1.76s 0.61s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  110 (   4 unt;   0 def)
%            Number of atoms       :  309 ( 126 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  377 ( 178   ~; 184   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f53,f58,f64,f65,f70,f71,f74,f75,f76,f77,f88,f89,f90,f91,f98,f145,f162,f167,f171,f227,f277,f347,f363,f367]) ).

fof(f367,plain,
    ( spl0_13
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f180,f50,f40,f95]) ).

fof(f95,plain,
    ( spl0_13
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f40,plain,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f50,plain,
    ( spl0_6
  <=> inverse(sk_c1) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f180,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f177,f42]) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f177,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f176,f1]) ).

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

fof(f176,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f169]) ).

fof(f169,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( inverse(sk_c1) = sk_c7
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f50]) ).

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(f363,plain,
    ( spl0_19
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f349,f270,f45,f274]) ).

fof(f274,plain,
    ( spl0_19
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f45,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f270,plain,
    ( spl0_18
  <=> sk_c7 = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f349,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f47,f271]) ).

fof(f271,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f47,plain,
    ( sk_c6 = multiply(sk_c2,sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f347,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f346,f95,f67,f50,f45,f40,f27,f270]) ).

fof(f27,plain,
    ( spl0_1
  <=> sk_c6 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f67,plain,
    ( spl0_9
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f346,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f345,f42]) ).

fof(f345,plain,
    ( multiply(sk_c1,sk_c6) = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f339,f219]) ).

fof(f219,plain,
    ( sk_c3 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f177,f215]) ).

fof(f215,plain,
    ( sk_c6 = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f211,f96]) ).

fof(f96,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f211,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f174,f198]) ).

fof(f198,plain,
    ( sk_c3 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f193,f183]) ).

fof(f183,plain,
    ( sk_c3 = multiply(sk_c3,sk_c6)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f179,f47]) ).

fof(f179,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f178,f1]) ).

fof(f178,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f172]) ).

fof(f172,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f69]) ).

fof(f69,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f193,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f173,f96]) ).

fof(f173,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f29]) ).

fof(f29,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f42]) ).

fof(f339,plain,
    ( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f174,f330]) ).

fof(f330,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f324,f47]) ).

fof(f324,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f175,f183]) ).

fof(f175,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f47]) ).

fof(f277,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f265,f83,f67,f274,f270]) ).

fof(f83,plain,
    ( spl0_11
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f265,plain,
    ( sk_c6 != multiply(sk_c2,sk_c7)
    | sk_c7 != sk_c3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f84,f69]) ).

fof(f84,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f227,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f226,f80,f67,f45,f27]) ).

fof(f80,plain,
    ( spl0_10
  <=> ! [X4] :
        ( sk_c6 != multiply(X4,inverse(X4))
        | sk_c6 != multiply(inverse(X4),sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f226,plain,
    ( sk_c6 != multiply(sk_c3,sk_c7)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    ( sk_c6 != multiply(sk_c3,sk_c7)
    | sk_c6 != sk_c6
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f223,f47]) ).

fof(f223,plain,
    ( sk_c6 != multiply(sk_c3,sk_c7)
    | sk_c6 != multiply(sk_c2,sk_c3)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f81,f69]) ).

fof(f81,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(inverse(X4),sk_c7)
        | sk_c6 != multiply(X4,inverse(X4)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f171,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f170,f86,f50,f40]) ).

fof(f86,plain,
    ( spl0_12
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f170,plain,
    ( sk_c7 != multiply(sk_c1,sk_c6)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f168]) ).

fof(f168,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c1,sk_c6)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f87,f52]) ).

fof(f87,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f167,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f166,f86,f60,f31]) ).

fof(f31,plain,
    ( spl0_2
  <=> sk_c7 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f60,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f166,plain,
    ( sk_c7 != multiply(sk_c5,sk_c6)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f164]) ).

fof(f164,plain,
    ( sk_c7 != multiply(sk_c5,sk_c6)
    | sk_c7 != sk_c7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f87,f62]) ).

fof(f62,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f162,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f159,f83,f55,f36]) ).

fof(f36,plain,
    ( spl0_3
  <=> multiply(sk_c4,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f55,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f159,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f157]) ).

fof(f157,plain,
    ( sk_c7 != sk_c7
    | multiply(sk_c4,sk_c7) != sk_c6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f84,f57]) ).

fof(f57,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f145,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f142,f60,f31,f95]) ).

fof(f142,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f127,f33]) ).

fof(f33,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f127,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c5,X9)) = X9
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c5,X9)) = multiply(identity,X9)
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f105]) ).

fof(f105,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f62]) ).

fof(f98,plain,
    ( ~ spl0_13
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f92,f80,f55,f36,f95]) ).

fof(f92,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | sk_c6 != multiply(sk_c7,sk_c7)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f81,f57]) ).

fof(f91,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f5,f50,f55]) ).

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

fof(f90,plain,
    ( spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f10,f60,f40]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f89,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f36,f27]) ).

fof(f20,axiom,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f88,plain,
    ( spl0_10
    | spl0_11
    | spl0_12
    | spl0_12 ),
    inference(avatar_split_clause,[],[f25,f86,f86,f83,f80]) ).

fof(f25,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c6 != multiply(X4,inverse(X4))
      | sk_c7 != inverse(X7)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c6 != multiply(inverse(X4),sk_c7) ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != multiply(X4,X5)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c6 != multiply(X5,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c6)
      | inverse(X4) != X5
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X7)
      | sk_c7 != inverse(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f77,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f4,f50,f36]) ).

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

fof(f76,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f16,f36,f67]) ).

fof(f16,axiom,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f75,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f6,f50,f60]) ).

fof(f6,axiom,
    ( inverse(sk_c1) = sk_c7
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f74,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f12,f36,f45]) ).

fof(f12,axiom,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f71,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f40,f31]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f70,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f17,f55,f67]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f65,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f55,f40]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f64,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f45,f55]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c3)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f58,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f21,f55,f27]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f53,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f31,f50]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f43,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f8,f40,f36]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP222-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:25:24 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.55  % (4595)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (4594)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.55  % (4587)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (4588)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (4588)Instruction limit reached!
% 0.21/0.55  % (4588)------------------------------
% 0.21/0.55  % (4588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (4588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (4588)Termination reason: Unknown
% 0.21/0.55  % (4588)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (4588)Memory used [KB]: 5884
% 0.21/0.55  % (4588)Time elapsed: 0.004 s
% 0.21/0.55  % (4588)Instructions burned: 3 (million)
% 0.21/0.55  % (4588)------------------------------
% 0.21/0.55  % (4588)------------------------------
% 0.21/0.55  % (4602)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.55  % (4596)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (4586)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.56  % (4604)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.56  % (4596)Instruction limit reached!
% 0.21/0.56  % (4596)------------------------------
% 0.21/0.56  % (4596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4596)Termination reason: Unknown
% 0.21/0.56  % (4596)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (4596)Memory used [KB]: 5884
% 0.21/0.56  % (4596)Time elapsed: 0.004 s
% 0.21/0.56  % (4596)Instructions burned: 3 (million)
% 0.21/0.56  % (4596)------------------------------
% 0.21/0.56  % (4596)------------------------------
% 0.21/0.56  TRYING [1]
% 0.21/0.56  % (4595)Instruction limit reached!
% 0.21/0.56  % (4595)------------------------------
% 0.21/0.56  % (4595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4595)Termination reason: Unknown
% 0.21/0.56  % (4595)Termination phase: Finite model building constraint generation
% 0.21/0.56  
% 0.21/0.56  % (4595)Memory used [KB]: 6012
% 0.21/0.56  % (4595)Time elapsed: 0.133 s
% 0.21/0.56  % (4595)Instructions burned: 6 (million)
% 0.21/0.56  % (4595)------------------------------
% 0.21/0.56  % (4595)------------------------------
% 0.21/0.56  % (4603)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56  % (4603)Refutation not found, incomplete strategy% (4603)------------------------------
% 0.21/0.56  % (4603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (4603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (4603)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (4603)Memory used [KB]: 5884
% 0.21/0.57  % (4603)Time elapsed: 0.141 s
% 0.21/0.57  % (4603)Instructions burned: 2 (million)
% 0.21/0.57  % (4603)------------------------------
% 0.21/0.57  % (4603)------------------------------
% 0.21/0.58  % (4585)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.58  % (4597)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.58  % (4582)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.58  % (4593)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58  % (4582)Instruction limit reached!
% 0.21/0.58  % (4582)------------------------------
% 0.21/0.58  % (4582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (4582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (4582)Termination reason: Unknown
% 0.21/0.58  % (4582)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (4582)Memory used [KB]: 5884
% 0.21/0.58  % (4582)Time elapsed: 0.164 s
% 0.21/0.58  % (4582)Instructions burned: 4 (million)
% 0.21/0.58  % (4582)------------------------------
% 0.21/0.58  % (4582)------------------------------
% 0.21/0.59  % (4593)Instruction limit reached!
% 0.21/0.59  % (4593)------------------------------
% 0.21/0.59  % (4593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (4593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (4593)Termination reason: Unknown
% 0.21/0.59  % (4593)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (4593)Memory used [KB]: 5884
% 0.21/0.59  % (4593)Time elapsed: 0.003 s
% 0.21/0.59  % (4593)Instructions burned: 3 (million)
% 0.21/0.59  % (4593)------------------------------
% 0.21/0.59  % (4593)------------------------------
% 0.21/0.59  % (4597)Instruction limit reached!
% 0.21/0.59  % (4597)------------------------------
% 0.21/0.59  % (4597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (4597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (4597)Termination reason: Unknown
% 0.21/0.59  % (4597)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (4597)Memory used [KB]: 6012
% 0.21/0.59  % (4597)Time elapsed: 0.125 s
% 0.21/0.59  % (4597)Instructions burned: 8 (million)
% 0.21/0.59  % (4597)------------------------------
% 0.21/0.59  % (4597)------------------------------
% 0.21/0.59  % (4589)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59  % (4598)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.59  % (4580)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.76/0.59  % (4609)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.59  % (4607)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.76/0.59  % (4590)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.76/0.59  % (4608)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.76/0.59  % (4600)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.76/0.59  % (4599)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.76/0.59  % (4608)Refutation not found, incomplete strategy% (4608)------------------------------
% 1.76/0.59  % (4608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59  % (4608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59  % (4608)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.59  
% 1.76/0.59  % (4608)Memory used [KB]: 5884
% 1.76/0.59  % (4608)Time elapsed: 0.179 s
% 1.76/0.59  % (4608)Instructions burned: 2 (million)
% 1.76/0.59  % (4608)------------------------------
% 1.76/0.59  % (4608)------------------------------
% 1.76/0.60  % (4590)Instruction limit reached!
% 1.76/0.60  % (4590)------------------------------
% 1.76/0.60  % (4590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (4581)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.76/0.60  % (4605)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.76/0.60  % (4606)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.76/0.60  % (4591)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.76/0.60  % (4583)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.76/0.60  % (4601)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.76/0.60  % (4605)Refutation not found, incomplete strategy% (4605)------------------------------
% 1.76/0.60  % (4605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (4605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (4605)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (4605)Memory used [KB]: 6012
% 1.76/0.60  % (4605)Time elapsed: 0.136 s
% 1.76/0.60  % (4605)Instructions burned: 7 (million)
% 1.76/0.60  % (4605)------------------------------
% 1.76/0.60  % (4605)------------------------------
% 1.76/0.60  % (4601)Refutation not found, incomplete strategy% (4601)------------------------------
% 1.76/0.60  % (4601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (4601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (4601)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (4601)Memory used [KB]: 5884
% 1.76/0.60  % (4601)Time elapsed: 0.192 s
% 1.76/0.60  % (4601)Instructions burned: 3 (million)
% 1.76/0.60  % (4601)------------------------------
% 1.76/0.60  % (4601)------------------------------
% 1.76/0.60  % (4590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (4590)Termination reason: Unknown
% 1.76/0.60  % (4590)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (4590)Memory used [KB]: 6012
% 1.76/0.60  % (4590)Time elapsed: 0.178 s
% 1.76/0.60  % (4590)Instructions burned: 6 (million)
% 1.76/0.60  % (4590)------------------------------
% 1.76/0.60  % (4590)------------------------------
% 1.76/0.60  % (4585)First to succeed.
% 1.76/0.60  % (4584)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.76/0.61  % (4585)Refutation found. Thanks to Tanya!
% 1.76/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.61  % (4585)------------------------------
% 1.76/0.61  % (4585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (4585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (4585)Termination reason: Refutation
% 1.76/0.61  
% 1.76/0.61  % (4585)Memory used [KB]: 6012
% 1.76/0.61  % (4585)Time elapsed: 0.186 s
% 1.76/0.61  % (4585)Instructions burned: 11 (million)
% 1.76/0.61  % (4585)------------------------------
% 1.76/0.61  % (4585)------------------------------
% 1.76/0.61  % (4579)Success in time 0.24 s
%------------------------------------------------------------------------------