TSTP Solution File: SYN102-1.007.007 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n017.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 19:36:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  137 (  15 unt;   0 def)
%            Number of atoms       :  895 (   0 equ)
%            Maximal formula atoms :   15 (   6 avg)
%            Number of connectives : 1502 ( 744   ~; 749   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  12 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   42 (  41 usr;  10 prp; 0-7 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :  637 ( 637   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f307,plain,
    $false,
    inference(avatar_sat_refutation,[],[f80,f284,f286,f292,f296,f298,f300,f302,f304,f306]) ).

fof(f306,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_8
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f305,f77,f273,f269,f261,f277,f281,f265,f257]) ).

fof(f257,plain,
    ( spl0_3
  <=> nq_6(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f265,plain,
    ( spl0_5
  <=> nq_7(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f281,plain,
    ( spl0_9
  <=> nq_4(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f277,plain,
    ( spl0_8
  <=> nq_5(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f261,plain,
    ( spl0_4
  <=> nq_3(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f269,plain,
    ( spl0_6
  <=> nq_2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f273,plain,
    ( spl0_7
  <=> nq_1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f77,plain,
    ( spl0_2
  <=> q_0(a,a,a,a,a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f305,plain,
    ( ~ nq_1(a)
    | ~ nq_2(a)
    | ~ nq_3(a)
    | ~ nq_5(a)
    | ~ nq_4(a)
    | ~ nq_7(a)
    | ~ nq_6(a)
    | spl0_2 ),
    inference(resolution,[],[f79,f250]) ).

fof(f250,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_0(X2,X0,X5,X1,X4,X6,X3)
      | ~ nq_7(X3)
      | ~ nq_1(X2)
      | ~ nq_6(X6)
      | ~ nq_2(X0)
      | ~ nq_4(X1)
      | ~ nq_3(X5)
      | ~ nq_5(X4) ),
    inference(duplicate_literal_removal,[],[f249]) ).

fof(f249,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_6(X6)
      | ~ nq_2(X0)
      | ~ nq_4(X1)
      | ~ nq_3(X5)
      | ~ nq_1(X2)
      | ~ nq_4(X1)
      | ~ nq_7(X3)
      | q_0(X2,X0,X5,X1,X4,X6,X3)
      | ~ nq_3(X5)
      | ~ nq_5(X4)
      | ~ nq_2(X0)
      | ~ nq_6(X6)
      | ~ nq_5(X4)
      | ~ nq_1(X2)
      | ~ nq_7(X3) ),
    inference(resolution,[],[f231,f243]) ).

fof(f243,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_1(X1,X4,X0,X5,X3,X2,X6)
      | ~ nq_4(X5)
      | ~ nq_3(X0)
      | ~ nq_6(X2)
      | ~ nq_2(X4)
      | ~ nq_1(X1)
      | ~ nq_5(X3)
      | ~ nq_7(X6) ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X4)
      | ~ nq_7(X6)
      | ~ nq_1(X1)
      | p_1(X1,X4,X0,X5,X3,X2,X6)
      | ~ nq_5(X3)
      | ~ nq_6(X2)
      | ~ nq_2(X4)
      | ~ nq_3(X0)
      | ~ nq_4(X5)
      | ~ nq_5(X3)
      | ~ nq_7(X6)
      | ~ nq_3(X0)
      | ~ nq_6(X2)
      | ~ nq_4(X5)
      | ~ nq_1(X1) ),
    inference(resolution,[],[f222,f230]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_2(X1,X2,X3,X4,X5,X0,X6)
      | ~ nq_4(X4)
      | ~ nq_3(X3)
      | ~ nq_6(X0)
      | ~ nq_7(X6)
      | ~ nq_5(X5)
      | ~ nq_1(X1)
      | ~ nq_2(X2) ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f229,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_5(X5)
      | ~ nq_3(X3)
      | q_2(X1,X2,X3,X4,X5,X0,X6)
      | ~ nq_5(X5)
      | ~ nq_3(X3)
      | ~ nq_2(X2)
      | ~ nq_7(X6)
      | ~ nq_7(X6)
      | ~ nq_6(X0)
      | ~ nq_1(X1)
      | ~ nq_2(X2)
      | ~ nq_4(X4)
      | ~ nq_1(X1)
      | ~ nq_6(X0)
      | ~ nq_4(X4) ),
    inference(resolution,[],[f207,f220]) ).

fof(f220,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_3(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_2(X1)
      | ~ nq_4(X3)
      | ~ nq_3(X2)
      | ~ nq_6(X5)
      | ~ nq_1(X0)
      | ~ nq_5(X4)
      | ~ nq_7(X6) ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_7(X6)
      | ~ nq_3(X2)
      | ~ nq_3(X2)
      | p_3(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_2(X1)
      | ~ nq_2(X1)
      | ~ nq_1(X0)
      | ~ nq_1(X0)
      | ~ nq_6(X5)
      | ~ nq_7(X6)
      | ~ nq_6(X5)
      | ~ nq_5(X4)
      | ~ nq_4(X3)
      | ~ nq_4(X3)
      | ~ nq_5(X4) ),
    inference(resolution,[],[f202,f206]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_4(X2,X6,X1,X5,X3,X4,X0)
      | ~ nq_4(X5)
      | ~ nq_1(X2)
      | ~ nq_3(X1)
      | ~ nq_7(X0)
      | ~ nq_6(X4)
      | ~ nq_5(X3)
      | ~ nq_2(X6) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_1(X2)
      | q_4(X2,X6,X1,X5,X3,X4,X0)
      | ~ nq_6(X4)
      | ~ nq_6(X4)
      | ~ nq_4(X5)
      | ~ nq_4(X5)
      | ~ nq_2(X6)
      | ~ nq_2(X6)
      | ~ nq_5(X3)
      | ~ nq_7(X0)
      | ~ nq_3(X1)
      | ~ nq_3(X1)
      | ~ nq_1(X2)
      | ~ nq_7(X0)
      | ~ nq_5(X3) ),
    inference(resolution,[],[f185,f196]) ).

fof(f196,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_5(X0,X5,X1,X2,X3,X4,X6)
      | ~ nq_4(X2)
      | ~ nq_2(X5)
      | ~ nq_5(X3)
      | ~ nq_1(X0)
      | ~ nq_6(X4)
      | ~ nq_7(X6)
      | ~ nq_3(X1) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_1(X0)
      | ~ nq_6(X4)
      | ~ nq_2(X5)
      | ~ nq_3(X1)
      | ~ nq_6(X4)
      | ~ nq_3(X1)
      | ~ nq_1(X0)
      | ~ nq_7(X6)
      | ~ nq_5(X3)
      | ~ nq_4(X2)
      | p_5(X0,X5,X1,X2,X3,X4,X6)
      | ~ nq_5(X3)
      | ~ nq_7(X6)
      | ~ nq_4(X2)
      | ~ nq_2(X5) ),
    inference(resolution,[],[f174,f182]) ).

fof(f182,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_6(X3,X4,X0,X5,X2,X6,X1)
      | ~ nq_1(X3)
      | ~ nq_3(X0)
      | ~ nq_5(X2)
      | ~ nq_2(X4)
      | ~ nq_6(X6)
      | ~ nq_7(X1)
      | ~ nq_4(X5) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_4(X5)
      | ~ nq_3(X0)
      | ~ nq_5(X2)
      | ~ nq_1(X3)
      | ~ nq_6(X6)
      | ~ nq_4(X5)
      | ~ nq_1(X3)
      | ~ nq_7(X1)
      | ~ nq_2(X4)
      | ~ nq_2(X4)
      | ~ nq_3(X0)
      | ~ nq_5(X2)
      | q_6(X3,X4,X0,X5,X2,X6,X1)
      | ~ nq_6(X6)
      | ~ nq_7(X1) ),
    inference(resolution,[],[f159,f172]) ).

fof(f172,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_7(X4,X3,X2,X5,X6,X0,X1)
      | ~ nq_6(X0)
      | ~ nq_4(X5)
      | ~ nq_3(X2)
      | ~ nq_7(X1)
      | ~ nq_5(X6)
      | ~ nq_1(X4)
      | ~ nq_2(X3) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_5(X6)
      | ~ nq_6(X0)
      | ~ nq_2(X3)
      | ~ nq_6(X0)
      | ~ nq_2(X3)
      | ~ nq_3(X2)
      | ~ nq_1(X4)
      | ~ nq_4(X5)
      | p_7(X4,X3,X2,X5,X6,X0,X1)
      | ~ nq_5(X6)
      | ~ nq_1(X4)
      | ~ nq_3(X2)
      | ~ nq_4(X5)
      | ~ nq_7(X1)
      | ~ nq_7(X1) ),
    inference(resolution,[],[f152,f158]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_8(X1,X0,X2,X3,X4,X5,X6)
      | ~ nq_3(X2)
      | ~ nq_6(X5)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_2(X0)
      | ~ nq_4(X3)
      | ~ nq_1(X1) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X0)
      | ~ nq_4(X3)
      | ~ nq_4(X3)
      | ~ nq_7(X6)
      | ~ nq_7(X6)
      | ~ nq_5(X4)
      | ~ nq_6(X5)
      | ~ nq_1(X1)
      | ~ nq_1(X1)
      | ~ nq_5(X4)
      | ~ nq_2(X0)
      | ~ nq_3(X2)
      | ~ nq_6(X5)
      | ~ nq_3(X2)
      | q_8(X1,X0,X2,X3,X4,X5,X6) ),
    inference(resolution,[],[f135,f146]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_9(X0,X6,X1,X2,X3,X4,X5)
      | ~ nq_6(X4)
      | ~ nq_7(X5)
      | ~ nq_4(X2)
      | ~ nq_3(X1)
      | ~ nq_2(X6)
      | ~ nq_1(X0)
      | ~ nq_5(X3) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_3(X1)
      | ~ nq_7(X5)
      | ~ nq_4(X2)
      | ~ nq_1(X0)
      | ~ nq_6(X4)
      | ~ nq_1(X0)
      | ~ nq_2(X6)
      | ~ nq_4(X2)
      | ~ nq_3(X1)
      | ~ nq_2(X6)
      | q_9(X0,X6,X1,X2,X3,X4,X5)
      | ~ nq_5(X3)
      | ~ nq_5(X3)
      | ~ nq_7(X5)
      | ~ nq_6(X4) ),
    inference(resolution,[],[f107,f110]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_10(X5,X1,X3,X2,X6,X4,X0)
      | ~ nq_1(X5)
      | ~ nq_3(X3)
      | ~ nq_4(X2)
      | ~ nq_5(X6)
      | ~ nq_7(X0)
      | ~ nq_2(X1)
      | ~ nq_6(X4) ),
    inference(duplicate_literal_removal,[],[f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_7(X0)
      | ~ nq_1(X5)
      | ~ nq_3(X3)
      | q_10(X5,X1,X3,X2,X6,X4,X0)
      | ~ nq_4(X2)
      | ~ nq_2(X1)
      | ~ nq_3(X3)
      | ~ nq_2(X1)
      | ~ nq_5(X6)
      | ~ nq_7(X0)
      | ~ nq_6(X4)
      | ~ nq_4(X2)
      | ~ nq_1(X5)
      | ~ nq_6(X4)
      | ~ nq_5(X6) ),
    inference(resolution,[],[f98,f87]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_6(X5)
      | ~ nq_1(X0)
      | ~ nq_2(X1)
      | ~ nq_5(X4)
      | ~ nq_3(X2)
      | ~ nq_4(X3)
      | ~ nq_7(X6)
      | q_10(X0,X1,X2,X3,X4,X5,X6) ),
    inference(resolution,[],[f46,f56]) ).

fof(f56,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_12(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_4(X3)
      | ~ nq_1(X0)
      | ~ nq_3(X2)
      | ~ nq_2(X1)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_6(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_3) ).

fof(f46,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_12(X0,X1,X2,X3,X4,X5,X6)
      | q_10(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_21) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_11(X0,X3,X1,X2,X5,X6,X4)
      | ~ nq_7(X4)
      | ~ nq_2(X3)
      | ~ nq_4(X2)
      | ~ nq_3(X1)
      | ~ nq_6(X6)
      | ~ nq_1(X0)
      | ~ nq_5(X5) ),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_6(X6)
      | ~ nq_3(X1)
      | ~ nq_3(X1)
      | ~ nq_7(X4)
      | ~ nq_2(X3)
      | ~ nq_1(X0)
      | ~ nq_2(X3)
      | ~ nq_5(X5)
      | ~ nq_4(X2)
      | ~ nq_7(X4)
      | ~ nq_5(X5)
      | ~ nq_1(X0)
      | p_11(X0,X3,X1,X2,X5,X6,X4)
      | ~ nq_4(X2)
      | ~ nq_6(X6) ),
    inference(resolution,[],[f83,f54]) ).

fof(f54,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_12(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_4(X3)
      | ~ nq_1(X0)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_3(X2)
      | ~ nq_2(X1)
      | ~ nq_6(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_1) ).

fof(f83,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_1(X0)
      | ~ nq_3(X2)
      | ~ nq_4(X3)
      | ~ nq_2(X1)
      | ~ nq_7(X6)
      | p_11(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_6(X5)
      | ~ nq_5(X4) ),
    inference(resolution,[],[f24,f55]) ).

fof(f55,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_13(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_6(X5)
      | ~ nq_3(X2)
      | ~ nq_7(X6)
      | ~ nq_4(X3)
      | ~ nq_1(X0)
      | ~ nq_2(X1)
      | ~ nq_5(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_2) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_13(X0,X1,X2,X3,X4,X5,X6)
      | p_11(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_12(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_23) ).

fof(f107,plain,
    ! [X18,X19,X16,X14,X17,X15,X20] :
      ( ~ q_10(X19,X15,X17,X16,X20,X18,X14)
      | ~ nq_1(X19)
      | ~ nq_3(X17)
      | ~ nq_4(X16)
      | ~ nq_5(X20)
      | ~ nq_6(X18)
      | ~ nq_7(X14)
      | q_9(X19,X15,X17,X16,X20,X18,X14)
      | ~ nq_2(X15) ),
    inference(resolution,[],[f98,f45]) ).

fof(f45,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
      | q_9(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_10(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_20) ).

fof(f135,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_9(X0,X5,X1,X3,X6,X4,X2)
      | ~ nq_2(X5)
      | ~ nq_1(X0)
      | q_8(X0,X5,X1,X3,X6,X4,X2)
      | ~ nq_7(X2)
      | ~ nq_4(X3)
      | ~ nq_5(X6)
      | ~ nq_6(X4)
      | ~ nq_3(X1) ),
    inference(resolution,[],[f109,f43]) ).

fof(f43,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_10(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_9(X0,X1,X2,X3,X4,X5,X6)
      | q_8(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_18) ).

fof(f109,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( p_10(X12,X8,X10,X9,X13,X11,X7)
      | ~ nq_1(X12)
      | ~ nq_3(X10)
      | ~ nq_7(X7)
      | ~ nq_4(X9)
      | ~ nq_6(X11)
      | ~ nq_2(X8)
      | ~ nq_5(X13) ),
    inference(duplicate_literal_removal,[],[f106]) ).

fof(f106,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ nq_4(X9)
      | ~ nq_4(X9)
      | ~ nq_7(X7)
      | ~ nq_5(X13)
      | ~ nq_7(X7)
      | ~ nq_1(X12)
      | ~ nq_1(X12)
      | ~ nq_6(X11)
      | ~ nq_2(X8)
      | ~ nq_3(X10)
      | ~ nq_3(X10)
      | p_10(X12,X8,X10,X9,X13,X11,X7)
      | ~ nq_2(X8)
      | ~ nq_6(X11)
      | ~ nq_5(X13) ),
    inference(resolution,[],[f98,f81]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_1(X0)
      | ~ nq_6(X5)
      | ~ nq_4(X3)
      | ~ nq_5(X4)
      | ~ nq_3(X2)
      | ~ nq_2(X1)
      | p_10(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_7(X6) ),
    inference(resolution,[],[f22,f54]) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_11(X0,X1,X2,X3,X4,X5,X6)
      | p_10(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_21) ).

fof(f152,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_8(X12,X11,X10,X9,X13,X7,X8)
      | ~ nq_6(X7)
      | ~ nq_7(X8)
      | ~ nq_3(X10)
      | ~ nq_2(X11)
      | p_7(X12,X11,X10,X9,X13,X7,X8)
      | ~ nq_4(X9)
      | ~ nq_1(X12)
      | ~ nq_5(X13) ),
    inference(resolution,[],[f146,f17]) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
      | p_7(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_8(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_16) ).

fof(f159,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_7(X6,X4,X0,X5,X2,X1,X3)
      | ~ nq_3(X0)
      | ~ nq_7(X3)
      | ~ nq_5(X2)
      | q_6(X6,X4,X0,X5,X2,X1,X3)
      | ~ nq_2(X4)
      | ~ nq_1(X6)
      | ~ nq_6(X1)
      | ~ nq_4(X5) ),
    inference(resolution,[],[f158,f38]) ).

fof(f38,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_8(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_7(X0,X1,X2,X3,X4,X5,X6)
      | q_6(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_13) ).

fof(f174,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_6(X9,X10,X13,X12,X11,X7,X8)
      | ~ nq_1(X9)
      | ~ nq_3(X13)
      | ~ nq_4(X12)
      | ~ nq_5(X11)
      | ~ nq_6(X7)
      | p_5(X9,X10,X13,X12,X11,X7,X8)
      | ~ nq_7(X8)
      | ~ nq_2(X10) ),
    inference(resolution,[],[f170,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
      | p_5(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_6(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_12) ).

fof(f170,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_7(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_6(X5)
      | ~ nq_7(X6)
      | ~ nq_1(X0)
      | ~ nq_2(X1)
      | ~ nq_5(X4)
      | ~ nq_4(X3)
      | ~ nq_3(X2) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X1)
      | ~ nq_3(X2)
      | ~ nq_4(X3)
      | ~ nq_3(X2)
      | ~ nq_1(X0)
      | ~ nq_4(X3)
      | ~ nq_2(X1)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_6(X5)
      | q_7(X0,X1,X2,X3,X4,X5,X6)
      | ~ nq_7(X6)
      | ~ nq_5(X4)
      | ~ nq_6(X5)
      | ~ nq_1(X0) ),
    inference(resolution,[],[f151,f162]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_8(X6,X0,X4,X5,X1,X2,X3)
      | ~ nq_3(X4)
      | ~ nq_6(X2)
      | ~ nq_7(X3)
      | ~ nq_2(X0)
      | ~ nq_5(X1)
      | ~ nq_1(X6)
      | ~ nq_4(X5) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_4(X5)
      | ~ nq_7(X3)
      | ~ nq_2(X0)
      | ~ nq_3(X4)
      | ~ nq_1(X6)
      | ~ nq_2(X0)
      | ~ nq_5(X1)
      | ~ nq_6(X2)
      | ~ nq_5(X1)
      | ~ nq_6(X2)
      | p_8(X6,X0,X4,X5,X1,X2,X3)
      | ~ nq_7(X3)
      | ~ nq_3(X4)
      | ~ nq_1(X6)
      | ~ nq_4(X5) ),
    inference(resolution,[],[f136,f148]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_9(X1,X4,X0,X5,X2,X3,X6)
      | ~ nq_6(X3)
      | ~ nq_2(X4)
      | ~ nq_4(X5)
      | ~ nq_7(X6)
      | ~ nq_3(X0)
      | ~ nq_1(X1)
      | ~ nq_5(X2) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_9(X1,X4,X0,X5,X2,X3,X6)
      | ~ nq_1(X1)
      | ~ nq_3(X0)
      | ~ nq_7(X6)
      | ~ nq_4(X5)
      | ~ nq_5(X2)
      | ~ nq_2(X4)
      | ~ nq_6(X3)
      | ~ nq_4(X5)
      | ~ nq_7(X6)
      | ~ nq_1(X1)
      | ~ nq_3(X0)
      | ~ nq_6(X3)
      | ~ nq_5(X2)
      | ~ nq_2(X4) ),
    inference(resolution,[],[f108,f109]) ).

fof(f108,plain,
    ! [X21,X26,X27,X24,X22,X25,X23] :
      ( ~ p_10(X26,X22,X24,X23,X27,X25,X21)
      | ~ nq_3(X24)
      | ~ nq_1(X26)
      | ~ nq_5(X27)
      | ~ nq_6(X25)
      | p_9(X26,X22,X24,X23,X27,X25,X21)
      | ~ nq_7(X21)
      | ~ nq_4(X23)
      | ~ nq_2(X22) ),
    inference(resolution,[],[f98,f20]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
      | p_9(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_10(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_19) ).

fof(f136,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ p_9(X7,X12,X8,X10,X13,X11,X9)
      | ~ nq_2(X12)
      | ~ nq_5(X13)
      | ~ nq_6(X11)
      | ~ nq_7(X9)
      | ~ nq_3(X8)
      | ~ nq_4(X10)
      | p_8(X7,X12,X8,X10,X13,X11,X9)
      | ~ nq_1(X7) ),
    inference(resolution,[],[f109,f18]) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_10(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_9(X0,X1,X2,X3,X4,X5,X6)
      | p_8(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_17) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_8(X5,X4,X3,X2,X6,X0,X1)
      | q_7(X5,X4,X3,X2,X6,X0,X1)
      | ~ nq_4(X2)
      | ~ nq_2(X4)
      | ~ nq_3(X3)
      | ~ nq_6(X0)
      | ~ nq_7(X1)
      | ~ nq_5(X6)
      | ~ nq_1(X5) ),
    inference(resolution,[],[f146,f40]) ).

fof(f40,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
      | q_7(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_8(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_15) ).

fof(f185,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_5(X0,X3,X1,X6,X2,X4,X5)
      | ~ nq_7(X5)
      | ~ nq_3(X1)
      | ~ nq_1(X0)
      | ~ nq_5(X2)
      | ~ nq_6(X4)
      | ~ nq_4(X6)
      | ~ nq_2(X3)
      | q_4(X0,X3,X1,X6,X2,X4,X5) ),
    inference(resolution,[],[f182,f34]) ).

fof(f34,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_5(X0,X1,X2,X3,X4,X5,X6)
      | q_4(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_9) ).

fof(f202,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_4(X7,X13,X12,X10,X9,X8,X11)
      | ~ nq_1(X7)
      | ~ nq_2(X13)
      | p_3(X7,X13,X12,X10,X9,X8,X11)
      | ~ nq_5(X9)
      | ~ nq_4(X10)
      | ~ nq_7(X11)
      | ~ nq_3(X12)
      | ~ nq_6(X8) ),
    inference(resolution,[],[f194,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_4(X0,X1,X2,X3,X4,X5,X6)
      | p_3(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_8) ).

fof(f194,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_5(X4,X0,X2,X5,X1,X3,X6)
      | ~ nq_1(X4)
      | ~ nq_6(X3)
      | ~ nq_5(X1)
      | ~ nq_4(X5)
      | ~ nq_7(X6)
      | ~ nq_3(X2)
      | ~ nq_2(X0) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_7(X6)
      | ~ nq_4(X5)
      | ~ nq_3(X2)
      | ~ nq_2(X0)
      | ~ nq_7(X6)
      | ~ nq_6(X3)
      | ~ nq_5(X1)
      | ~ nq_1(X4)
      | ~ nq_5(X1)
      | ~ nq_1(X4)
      | ~ nq_6(X3)
      | q_5(X4,X0,X2,X5,X1,X3,X6)
      | ~ nq_3(X2)
      | ~ nq_4(X5)
      | ~ nq_2(X0) ),
    inference(resolution,[],[f173,f184]) ).

fof(f184,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_6(X1,X0,X2,X3,X4,X5,X6)
      | ~ nq_6(X5)
      | ~ nq_4(X3)
      | ~ nq_2(X0)
      | ~ nq_3(X2)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_1(X1) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X0)
      | ~ nq_6(X5)
      | ~ nq_5(X4)
      | ~ nq_1(X1)
      | ~ nq_4(X3)
      | ~ nq_3(X2)
      | ~ nq_2(X0)
      | ~ nq_6(X5)
      | ~ nq_5(X4)
      | ~ nq_7(X6)
      | ~ nq_4(X3)
      | ~ nq_1(X1)
      | ~ nq_3(X2)
      | ~ nq_7(X6)
      | p_6(X1,X0,X2,X3,X4,X5,X6) ),
    inference(resolution,[],[f160,f170]) ).

fof(f160,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_7(X13,X11,X7,X12,X9,X8,X10)
      | ~ nq_2(X11)
      | p_6(X13,X11,X7,X12,X9,X8,X10)
      | ~ nq_1(X13)
      | ~ nq_3(X7)
      | ~ nq_4(X12)
      | ~ nq_5(X9)
      | ~ nq_6(X8)
      | ~ nq_7(X10) ),
    inference(resolution,[],[f158,f15]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_8(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_7(X0,X1,X2,X3,X4,X5,X6)
      | p_6(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_14) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_6(X2,X3,X6,X5,X4,X0,X1)
      | ~ nq_2(X3)
      | ~ nq_5(X4)
      | ~ nq_3(X6)
      | ~ nq_6(X0)
      | q_5(X2,X3,X6,X5,X4,X0,X1)
      | ~ nq_1(X2)
      | ~ nq_4(X5)
      | ~ nq_7(X1) ),
    inference(resolution,[],[f170,f36]) ).

fof(f36,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_6(X0,X1,X2,X3,X4,X5,X6)
      | q_5(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_11) ).

fof(f207,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_3(X1,X6,X2,X0,X5,X4,X3)
      | ~ nq_6(X4)
      | q_2(X1,X6,X2,X0,X5,X4,X3)
      | ~ nq_7(X3)
      | ~ nq_4(X0)
      | ~ nq_5(X5)
      | ~ nq_3(X2)
      | ~ nq_2(X6)
      | ~ nq_1(X1) ),
    inference(resolution,[],[f206,f30]) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_3(X0,X1,X2,X3,X4,X5,X6)
      | q_2(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_5) ).

fof(f222,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_2(X11,X7,X10,X9,X13,X12,X8)
      | ~ nq_3(X10)
      | ~ nq_1(X11)
      | ~ nq_6(X12)
      | ~ nq_5(X13)
      | ~ nq_2(X7)
      | ~ nq_4(X9)
      | p_1(X11,X7,X10,X9,X13,X12,X8)
      | ~ nq_7(X8) ),
    inference(resolution,[],[f218,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_3(X0,X1,X2,X3,X4,X5,X6)
      | p_1(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_2(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_4) ).

fof(f218,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_3(X5,X4,X3,X6,X1,X2,X0)
      | ~ nq_2(X4)
      | ~ nq_7(X0)
      | ~ nq_4(X6)
      | ~ nq_3(X3)
      | ~ nq_1(X5)
      | ~ nq_6(X2)
      | ~ nq_5(X1) ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X4)
      | ~ nq_7(X0)
      | ~ nq_5(X1)
      | ~ nq_2(X4)
      | ~ nq_6(X2)
      | ~ nq_5(X1)
      | ~ nq_4(X6)
      | ~ nq_3(X3)
      | ~ nq_1(X5)
      | ~ nq_3(X3)
      | ~ nq_1(X5)
      | ~ nq_7(X0)
      | ~ nq_4(X6)
      | ~ nq_6(X2)
      | q_3(X5,X4,X3,X6,X1,X2,X0) ),
    inference(resolution,[],[f201,f210]) ).

fof(f210,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_4(X0,X2,X4,X1,X5,X3,X6)
      | ~ nq_5(X5)
      | ~ nq_6(X3)
      | ~ nq_1(X0)
      | ~ nq_7(X6)
      | ~ nq_3(X4)
      | ~ nq_4(X1)
      | ~ nq_2(X2) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_3(X4)
      | ~ nq_6(X3)
      | ~ nq_2(X2)
      | ~ nq_7(X6)
      | ~ nq_1(X0)
      | ~ nq_4(X1)
      | ~ nq_5(X5)
      | ~ nq_4(X1)
      | ~ nq_6(X3)
      | p_4(X0,X2,X4,X1,X5,X3,X6)
      | ~ nq_2(X2)
      | ~ nq_5(X5)
      | ~ nq_1(X0)
      | ~ nq_3(X4)
      | ~ nq_7(X6) ),
    inference(resolution,[],[f186,f194]) ).

fof(f186,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_5(X7,X10,X8,X13,X9,X11,X12)
      | ~ nq_1(X7)
      | ~ nq_4(X13)
      | ~ nq_2(X10)
      | ~ nq_6(X11)
      | p_4(X7,X10,X8,X13,X9,X11,X12)
      | ~ nq_5(X9)
      | ~ nq_3(X8)
      | ~ nq_7(X12) ),
    inference(resolution,[],[f182,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
      | p_4(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_5(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_10) ).

fof(f201,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_4(X0,X6,X5,X3,X2,X1,X4)
      | ~ nq_7(X4)
      | ~ nq_5(X2)
      | ~ nq_6(X1)
      | ~ nq_3(X5)
      | ~ nq_2(X6)
      | q_3(X0,X6,X5,X3,X2,X1,X4)
      | ~ nq_4(X3)
      | ~ nq_1(X0) ),
    inference(resolution,[],[f194,f32]) ).

fof(f32,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
      | q_3(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_4(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_7) ).

fof(f231,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_1(X5,X6,X1,X0,X4,X2,X3)
      | ~ nq_2(X6)
      | ~ nq_4(X0)
      | ~ nq_1(X5)
      | ~ nq_7(X3)
      | ~ nq_5(X4)
      | ~ nq_3(X1)
      | ~ nq_6(X2)
      | q_0(X5,X6,X1,X0,X4,X2,X3) ),
    inference(resolution,[],[f230,f26]) ).

fof(f26,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
      | ~ p_1(X0,X1,X2,X3,X4,X5,X6)
      | q_0(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_1) ).

fof(f79,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f304,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f283,f64]) ).

fof(f64,axiom,
    nq_4(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_7) ).

fof(f283,plain,
    ( ~ nq_4(a)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f302,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f279,f66]) ).

fof(f66,axiom,
    nq_5(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_9) ).

fof(f279,plain,
    ( ~ nq_5(a)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f300,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f275,f58]) ).

fof(f58,axiom,
    nq_1(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).

fof(f275,plain,
    ( ~ nq_1(a)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f298,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f271,f60]) ).

fof(f60,axiom,
    nq_2(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).

fof(f271,plain,
    ( ~ nq_2(a)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f296,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f267,f70]) ).

fof(f70,axiom,
    nq_7(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_13) ).

fof(f267,plain,
    ( ~ nq_7(a)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f292,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f263,f62]) ).

fof(f62,axiom,
    nq_3(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_5) ).

fof(f263,plain,
    ( ~ nq_3(a)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f286,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f285]) ).

fof(f285,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f259,f68]) ).

fof(f68,axiom,
    nq_6(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_11) ).

fof(f259,plain,
    ( ~ nq_6(a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f284,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f255,f73,f281,f277,f273,f269,f265,f261,f257]) ).

fof(f73,plain,
    ( spl0_1
  <=> p_0(a,a,a,a,a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f255,plain,
    ( ~ nq_4(a)
    | ~ nq_5(a)
    | ~ nq_1(a)
    | ~ nq_2(a)
    | ~ nq_7(a)
    | ~ nq_3(a)
    | ~ nq_6(a)
    | spl0_1 ),
    inference(resolution,[],[f253,f75]) ).

fof(f75,plain,
    ( ~ p_0(a,a,a,a,a,a,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( p_0(X0,X3,X2,X4,X5,X6,X1)
      | ~ nq_6(X6)
      | ~ nq_7(X1)
      | ~ nq_4(X4)
      | ~ nq_2(X3)
      | ~ nq_1(X0)
      | ~ nq_3(X2)
      | ~ nq_5(X5) ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f251,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_6(X6)
      | ~ nq_2(X3)
      | ~ nq_3(X2)
      | ~ nq_6(X6)
      | ~ nq_7(X1)
      | ~ nq_2(X3)
      | ~ nq_1(X0)
      | ~ nq_3(X2)
      | ~ nq_5(X5)
      | p_0(X0,X3,X2,X4,X5,X6,X1)
      | ~ nq_5(X5)
      | ~ nq_4(X4)
      | ~ nq_1(X0)
      | ~ nq_4(X4)
      | ~ nq_7(X1) ),
    inference(resolution,[],[f232,f245]) ).

fof(f245,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( q_1(X2,X1,X6,X4,X5,X0,X3)
      | ~ nq_2(X1)
      | ~ nq_6(X0)
      | ~ nq_1(X2)
      | ~ nq_5(X5)
      | ~ nq_3(X6)
      | ~ nq_7(X3)
      | ~ nq_4(X4) ),
    inference(duplicate_literal_removal,[],[f244]) ).

fof(f244,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ nq_2(X1)
      | ~ nq_3(X6)
      | ~ nq_2(X1)
      | ~ nq_5(X5)
      | ~ nq_7(X3)
      | ~ nq_4(X4)
      | ~ nq_1(X2)
      | ~ nq_6(X0)
      | ~ nq_3(X6)
      | ~ nq_7(X3)
      | ~ nq_1(X2)
      | q_1(X2,X1,X6,X4,X5,X0,X3)
      | ~ nq_6(X0)
      | ~ nq_5(X5)
      | ~ nq_4(X4) ),
    inference(resolution,[],[f223,f230]) ).

fof(f223,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_2(X4,X0,X2,X1,X5,X3,X6)
      | ~ nq_6(X3)
      | ~ nq_2(X0)
      | ~ nq_1(X4)
      | ~ nq_7(X6)
      | ~ nq_4(X1)
      | ~ nq_5(X5)
      | q_1(X4,X0,X2,X1,X5,X3,X6)
      | ~ nq_3(X2) ),
    inference(resolution,[],[f220,f29]) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_3(X0,X1,X2,X3,X4,X5,X6)
      | q_1(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_2(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_4) ).

fof(f232,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ q_1(X12,X13,X8,X7,X11,X9,X10)
      | ~ nq_1(X12)
      | ~ nq_7(X10)
      | ~ nq_3(X8)
      | p_0(X12,X13,X8,X7,X11,X9,X10)
      | ~ nq_2(X13)
      | ~ nq_5(X11)
      | ~ nq_6(X9)
      | ~ nq_4(X7) ),
    inference(resolution,[],[f230,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
      | ~ q_1(X0,X1,X2,X3,X4,X5,X6)
      | p_0(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_2) ).

fof(f80,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1,f77,f73]) ).

fof(f1,axiom,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ p_0(a,a,a,a,a,a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_goal_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 20:55:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (2479)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (2471)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (2495)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (2469)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  Detected maximum model sizes of [2]
% 0.19/0.52  % (2479)First to succeed.
% 0.19/0.52  % (2485)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (2487)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (2469)Also succeeded, but the first one will report.
% 0.19/0.53  % (2479)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (2479)------------------------------
% 0.19/0.53  % (2479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (2479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (2479)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (2479)Memory used [KB]: 5756
% 0.19/0.53  % (2479)Time elapsed: 0.133 s
% 0.19/0.53  % (2479)Instructions burned: 22 (million)
% 0.19/0.53  % (2479)------------------------------
% 0.19/0.53  % (2479)------------------------------
% 0.19/0.53  % (2468)Success in time 0.18 s
%------------------------------------------------------------------------------