TSTP Solution File: SYN090-1.008 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n004.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 19:25:31 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  186 (  32 unt;   0 def)
%            Number of atoms       :  411 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  428 ( 203   ~; 207   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   50 (  49 usr;  50 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f415,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f90,f111,f130,f138,f154,f164,f168,f182,f192,f196,f200,f209,f234,f252,f256,f308,f373,f414]) ).

fof(f414,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f412,f399]) ).

fof(f399,plain,
    p_2,
    inference(subsumption_resolution,[],[f382,f398]) ).

fof(f398,plain,
    q_4,
    inference(subsumption_resolution,[],[f328,f397]) ).

fof(f397,plain,
    p_5,
    inference(subsumption_resolution,[],[f292,f394]) ).

fof(f394,plain,
    p_6,
    inference(subsumption_resolution,[],[f286,f391]) ).

fof(f391,plain,
    q_7,
    inference(subsumption_resolution,[],[f287,f389]) ).

fof(f389,plain,
    p_9,
    inference(subsumption_resolution,[],[f281,f387]) ).

fof(f387,plain,
    p_11,
    inference(subsumption_resolution,[],[f269,f354]) ).

fof(f354,plain,
    p_12,
    inference(subsumption_resolution,[],[f258,f315]) ).

fof(f315,plain,
    q_13,
    inference(subsumption_resolution,[],[f253,f65]) ).

fof(f65,axiom,
    q_15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_4) ).

fof(f253,plain,
    ( q_13
    | ~ q_15 ),
    inference(subsumption_resolution,[],[f56,f62]) ).

fof(f62,axiom,
    p_14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_1) ).

fof(f56,axiom,
    ( ~ p_14
    | ~ q_15
    | q_13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_27) ).

fof(f258,plain,
    ( ~ q_13
    | p_12 ),
    inference(subsumption_resolution,[],[f27,f64]) ).

fof(f64,axiom,
    q_14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_3) ).

fof(f27,axiom,
    ( ~ q_13
    | ~ q_14
    | p_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_26) ).

fof(f269,plain,
    ( p_11
    | ~ p_12 ),
    inference(subsumption_resolution,[],[f24,f236]) ).

fof(f236,plain,
    p_13,
    inference(subsumption_resolution,[],[f235,f62]) ).

fof(f235,plain,
    ( ~ p_14
    | p_13 ),
    inference(subsumption_resolution,[],[f28,f63]) ).

fof(f63,axiom,
    p_15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_2) ).

fof(f28,axiom,
    ( p_13
    | ~ p_15
    | ~ p_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_27) ).

fof(f24,axiom,
    ( p_11
    | ~ p_13
    | ~ p_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_23) ).

fof(f281,plain,
    ( ~ p_11
    | p_9 ),
    inference(subsumption_resolution,[],[f20,f277]) ).

fof(f277,plain,
    p_10,
    inference(subsumption_resolution,[],[f274,f273]) ).

fof(f273,plain,
    q_11,
    inference(subsumption_resolution,[],[f259,f250]) ).

fof(f250,plain,
    q_12,
    inference(subsumption_resolution,[],[f249,f64]) ).

fof(f249,plain,
    ( ~ q_14
    | q_12 ),
    inference(subsumption_resolution,[],[f54,f236]) ).

fof(f54,axiom,
    ( ~ p_13
    | q_12
    | ~ q_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_25) ).

fof(f259,plain,
    ( ~ q_12
    | q_11 ),
    inference(subsumption_resolution,[],[f53,f236]) ).

fof(f53,axiom,
    ( ~ p_13
    | ~ q_12
    | q_11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_24) ).

fof(f274,plain,
    ( p_10
    | ~ q_11 ),
    inference(subsumption_resolution,[],[f23,f250]) ).

fof(f23,axiom,
    ( ~ q_12
    | p_10
    | ~ q_11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_22) ).

fof(f20,axiom,
    ( ~ p_11
    | ~ p_10
    | p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_19) ).

fof(f287,plain,
    ( ~ p_9
    | q_7 ),
    inference(subsumption_resolution,[],[f45,f282]) ).

fof(f282,plain,
    q_8,
    inference(subsumption_resolution,[],[f279,f278]) ).

fof(f278,plain,
    q_9,
    inference(subsumption_resolution,[],[f276,f277]) ).

fof(f276,plain,
    ( q_9
    | ~ p_10 ),
    inference(subsumption_resolution,[],[f48,f273]) ).

fof(f48,axiom,
    ( q_9
    | ~ q_11
    | ~ p_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_19) ).

fof(f279,plain,
    ( q_8
    | ~ q_9 ),
    inference(subsumption_resolution,[],[f47,f277]) ).

fof(f47,axiom,
    ( ~ p_10
    | q_8
    | ~ q_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_18) ).

fof(f45,axiom,
    ( ~ p_9
    | q_7
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_16) ).

fof(f286,plain,
    ( p_6
    | ~ q_7 ),
    inference(subsumption_resolution,[],[f15,f282]) ).

fof(f15,axiom,
    ( ~ q_7
    | ~ q_8
    | p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_14) ).

fof(f292,plain,
    ( p_5
    | ~ p_6 ),
    inference(subsumption_resolution,[],[f12,f288]) ).

fof(f288,plain,
    p_7,
    inference(subsumption_resolution,[],[f283,f282]) ).

fof(f283,plain,
    ( p_7
    | ~ q_8 ),
    inference(subsumption_resolution,[],[f17,f278]) ).

fof(f17,axiom,
    ( ~ q_8
    | ~ q_9
    | p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_16) ).

fof(f12,axiom,
    ( p_5
    | ~ p_7
    | ~ p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_11) ).

fof(f328,plain,
    ( q_4
    | ~ p_5 ),
    inference(subsumption_resolution,[],[f38,f306]) ).

fof(f306,plain,
    q_6,
    inference(subsumption_resolution,[],[f305,f282]) ).

fof(f305,plain,
    ( ~ q_8
    | q_6 ),
    inference(subsumption_resolution,[],[f42,f288]) ).

fof(f42,axiom,
    ( ~ p_7
    | q_6
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_13) ).

fof(f38,axiom,
    ( ~ q_6
    | ~ p_5
    | q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_9) ).

fof(f382,plain,
    ( ~ q_4
    | p_2 ),
    inference(subsumption_resolution,[],[f7,f364]) ).

fof(f364,plain,
    q_3,
    inference(subsumption_resolution,[],[f363,f327]) ).

fof(f327,plain,
    q_5,
    inference(subsumption_resolution,[],[f311,f306]) ).

fof(f311,plain,
    ( ~ q_6
    | q_5 ),
    inference(subsumption_resolution,[],[f41,f288]) ).

fof(f41,axiom,
    ( q_5
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_12) ).

fof(f363,plain,
    ( q_3
    | ~ q_5 ),
    inference(subsumption_resolution,[],[f36,f326]) ).

fof(f326,plain,
    p_4,
    inference(subsumption_resolution,[],[f314,f306]) ).

fof(f314,plain,
    ( ~ q_6
    | p_4 ),
    inference(subsumption_resolution,[],[f11,f311]) ).

fof(f11,axiom,
    ( ~ q_5
    | p_4
    | ~ q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_10) ).

fof(f36,axiom,
    ( ~ p_4
    | ~ q_5
    | q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_7) ).

fof(f7,axiom,
    ( ~ q_4
    | p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_6) ).

fof(f412,plain,
    ( ~ p_2
    | spl0_2 ),
    inference(subsumption_resolution,[],[f411,f364]) ).

fof(f411,plain,
    ( ~ q_3
    | ~ p_2
    | spl0_2 ),
    inference(subsumption_resolution,[],[f32,f381]) ).

fof(f381,plain,
    ( ~ q_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f374,f377]) ).

fof(f377,plain,
    q_2,
    inference(subsumption_resolution,[],[f335,f364]) ).

fof(f335,plain,
    ( q_2
    | ~ q_3 ),
    inference(subsumption_resolution,[],[f35,f326]) ).

fof(f35,axiom,
    ( q_2
    | ~ p_4
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_6) ).

fof(f374,plain,
    ( ~ q_1
    | ~ q_2
    | spl0_2 ),
    inference(subsumption_resolution,[],[f3,f71]) ).

fof(f71,plain,
    ( ~ p_0
    | spl0_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_2
  <=> p_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3,axiom,
    ( ~ q_1
    | p_0
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_2) ).

fof(f32,axiom,
    ( q_1
    | ~ p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_3) ).

fof(f373,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | spl0_6 ),
    inference(subsumption_resolution,[],[f371,f315]) ).

fof(f371,plain,
    ( ~ q_13
    | spl0_6 ),
    inference(subsumption_resolution,[],[f370,f357]) ).

fof(f357,plain,
    ( ~ p_11
    | spl0_6 ),
    inference(subsumption_resolution,[],[f281,f356]) ).

fof(f356,plain,
    ( ~ p_9
    | spl0_6 ),
    inference(subsumption_resolution,[],[f287,f353]) ).

fof(f353,plain,
    ( ~ q_7
    | spl0_6 ),
    inference(subsumption_resolution,[],[f329,f352]) ).

fof(f352,plain,
    ( ~ p_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f351,f350]) ).

fof(f350,plain,
    ( ~ p_3
    | spl0_6 ),
    inference(subsumption_resolution,[],[f310,f326]) ).

fof(f310,plain,
    ( ~ p_3
    | ~ p_4
    | spl0_6 ),
    inference(subsumption_resolution,[],[f6,f89]) ).

fof(f89,plain,
    ( ~ p_2
    | spl0_6 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_6
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f6,axiom,
    ( ~ p_4
    | p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_5) ).

fof(f351,plain,
    ( ~ p_5
    | p_3 ),
    inference(subsumption_resolution,[],[f8,f326]) ).

fof(f8,axiom,
    ( ~ p_5
    | ~ p_4
    | p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_7) ).

fof(f329,plain,
    ( p_5
    | ~ q_7 ),
    inference(subsumption_resolution,[],[f13,f306]) ).

fof(f13,axiom,
    ( p_5
    | ~ q_6
    | ~ q_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_12) ).

fof(f370,plain,
    ( p_11
    | ~ q_13 ),
    inference(subsumption_resolution,[],[f25,f250]) ).

fof(f25,axiom,
    ( ~ q_12
    | ~ q_13
    | p_11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_24) ).

fof(f308,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f307]) ).

fof(f307,plain,
    ( $false
    | spl0_10 ),
    inference(subsumption_resolution,[],[f306,f289]) ).

fof(f289,plain,
    ( ~ q_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f267,f288]) ).

fof(f267,plain,
    ( ~ p_7
    | ~ q_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f41,f261]) ).

fof(f261,plain,
    ( ~ q_5
    | ~ q_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f11,f107]) ).

fof(f107,plain,
    ( ~ p_4
    | spl0_10 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl0_10
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f256,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f255]) ).

fof(f255,plain,
    ( $false
    | spl0_24 ),
    inference(subsumption_resolution,[],[f254,f65]) ).

fof(f254,plain,
    ( ~ q_15
    | spl0_24 ),
    inference(subsumption_resolution,[],[f253,f241]) ).

fof(f241,plain,
    ( ~ q_13
    | spl0_24 ),
    inference(subsumption_resolution,[],[f240,f64]) ).

fof(f240,plain,
    ( ~ q_13
    | ~ q_14
    | spl0_24 ),
    inference(subsumption_resolution,[],[f27,f238]) ).

fof(f238,plain,
    ( ~ p_12
    | spl0_24 ),
    inference(subsumption_resolution,[],[f202,f236]) ).

fof(f202,plain,
    ( ~ p_13
    | ~ p_12
    | spl0_24 ),
    inference(subsumption_resolution,[],[f24,f191]) ).

fof(f191,plain,
    ( ~ p_11
    | spl0_24 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f190,plain,
    ( spl0_24
  <=> p_11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f252,plain,
    spl0_23,
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | spl0_23 ),
    inference(subsumption_resolution,[],[f250,f237]) ).

fof(f237,plain,
    ( ~ q_12
    | spl0_23 ),
    inference(subsumption_resolution,[],[f208,f236]) ).

fof(f208,plain,
    ( ~ p_13
    | ~ q_12
    | spl0_23 ),
    inference(subsumption_resolution,[],[f53,f185]) ).

fof(f185,plain,
    ( ~ q_11
    | spl0_23 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl0_23
  <=> q_11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f234,plain,
    spl0_25,
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl0_25 ),
    inference(subsumption_resolution,[],[f232,f64]) ).

fof(f232,plain,
    ( ~ q_14
    | spl0_25 ),
    inference(subsumption_resolution,[],[f227,f63]) ).

fof(f227,plain,
    ( ~ p_15
    | ~ q_14
    | spl0_25 ),
    inference(subsumption_resolution,[],[f57,f226]) ).

fof(f226,plain,
    ( ~ q_13
    | spl0_25 ),
    inference(subsumption_resolution,[],[f216,f62]) ).

fof(f216,plain,
    ( ~ q_13
    | ~ p_14
    | spl0_25 ),
    inference(subsumption_resolution,[],[f55,f199]) ).

fof(f199,plain,
    ( ~ q_12
    | spl0_25 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl0_25
  <=> q_12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f55,axiom,
    ( ~ q_13
    | ~ p_14
    | q_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_26) ).

fof(f57,axiom,
    ( ~ p_15
    | ~ q_14
    | q_13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_28) ).

fof(f209,plain,
    ( ~ spl0_25
    | ~ spl0_23
    | spl0_22 ),
    inference(avatar_split_clause,[],[f193,f176,f184,f198]) ).

fof(f176,plain,
    ( spl0_22
  <=> p_10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f193,plain,
    ( ~ q_11
    | ~ q_12
    | spl0_22 ),
    inference(subsumption_resolution,[],[f23,f177]) ).

fof(f177,plain,
    ( ~ p_10
    | spl0_22 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f200,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | spl0_21 ),
    inference(avatar_split_clause,[],[f187,f170,f198,f190]) ).

fof(f170,plain,
    ( spl0_21
  <=> q_10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f187,plain,
    ( ~ q_12
    | ~ p_11
    | spl0_21 ),
    inference(subsumption_resolution,[],[f50,f171]) ).

fof(f171,plain,
    ( ~ q_10
    | spl0_21 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f50,axiom,
    ( ~ q_12
    | ~ p_11
    | q_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_21) ).

fof(f196,plain,
    ( ~ spl0_21
    | ~ spl0_24
    | spl0_19 ),
    inference(avatar_split_clause,[],[f180,f156,f190,f170]) ).

fof(f156,plain,
    ( spl0_19
  <=> q_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f180,plain,
    ( ~ p_11
    | ~ q_10
    | spl0_19 ),
    inference(subsumption_resolution,[],[f49,f157]) ).

fof(f157,plain,
    ( ~ q_9
    | spl0_19 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f49,axiom,
    ( ~ p_11
    | ~ q_10
    | q_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_20) ).

fof(f192,plain,
    ( ~ spl0_24
    | ~ spl0_22
    | spl0_20 ),
    inference(avatar_split_clause,[],[f174,f162,f176,f190]) ).

fof(f162,plain,
    ( spl0_20
  <=> p_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f174,plain,
    ( ~ p_10
    | ~ p_11
    | spl0_20 ),
    inference(subsumption_resolution,[],[f20,f163]) ).

fof(f163,plain,
    ( ~ p_9
    | spl0_20 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f182,plain,
    ( ~ spl0_22
    | ~ spl0_20
    | spl0_18 ),
    inference(avatar_split_clause,[],[f166,f148,f162,f176]) ).

fof(f148,plain,
    ( spl0_18
  <=> p_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f166,plain,
    ( ~ p_9
    | ~ p_10
    | spl0_18 ),
    inference(subsumption_resolution,[],[f18,f149]) ).

fof(f149,plain,
    ( ~ p_8
    | spl0_18 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f18,axiom,
    ( ~ p_10
    | ~ p_9
    | p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_17) ).

fof(f168,plain,
    ( ~ spl0_19
    | ~ spl0_18
    | spl0_16 ),
    inference(avatar_split_clause,[],[f152,f136,f148,f156]) ).

fof(f136,plain,
    ( spl0_16
  <=> q_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f152,plain,
    ( ~ p_8
    | ~ q_9
    | spl0_16 ),
    inference(subsumption_resolution,[],[f44,f137]) ).

fof(f137,plain,
    ( ~ q_7
    | spl0_16 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f44,axiom,
    ( ~ q_9
    | ~ p_8
    | q_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_15) ).

fof(f164,plain,
    ( ~ spl0_20
    | ~ spl0_18
    | spl0_15 ),
    inference(avatar_split_clause,[],[f146,f132,f148,f162]) ).

fof(f132,plain,
    ( spl0_15
  <=> p_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f146,plain,
    ( ~ p_8
    | ~ p_9
    | spl0_15 ),
    inference(subsumption_resolution,[],[f16,f133]) ).

fof(f133,plain,
    ( ~ p_7
    | spl0_15 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f16,axiom,
    ( ~ p_8
    | ~ p_9
    | p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_15) ).

fof(f154,plain,
    ( ~ spl0_15
    | ~ spl0_18
    | spl0_12 ),
    inference(avatar_split_clause,[],[f140,f116,f148,f132]) ).

fof(f116,plain,
    ( spl0_12
  <=> p_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f140,plain,
    ( ~ p_8
    | ~ p_7
    | spl0_12 ),
    inference(subsumption_resolution,[],[f14,f117]) ).

fof(f117,plain,
    ( ~ p_6
    | spl0_12 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f14,axiom,
    ( ~ p_7
    | ~ p_8
    | p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_13) ).

fof(f138,plain,
    ( ~ spl0_12
    | ~ spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f120,f113,f136,f116]) ).

fof(f113,plain,
    ( spl0_11
  <=> q_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f120,plain,
    ( ~ q_7
    | ~ p_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f40,f114]) ).

fof(f114,plain,
    ( ~ q_5
    | spl0_11 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f40,axiom,
    ( ~ q_7
    | ~ p_6
    | q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_11) ).

fof(f130,plain,
    ( ~ spl0_11
    | ~ spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f110,f103,f106,f113]) ).

fof(f103,plain,
    ( spl0_9
  <=> q_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f110,plain,
    ( ~ p_4
    | ~ q_5
    | spl0_9 ),
    inference(subsumption_resolution,[],[f36,f104]) ).

fof(f104,plain,
    ( ~ q_3
    | spl0_9 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f111,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f92,f85,f103,f88]) ).

fof(f85,plain,
    ( spl0_5
  <=> q_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f92,plain,
    ( ~ q_3
    | ~ p_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f32,f86]) ).

fof(f86,plain,
    ( ~ q_1
    | spl0_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f90,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f74,f67,f88,f85]) ).

fof(f67,plain,
    ( spl0_1
  <=> q_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f74,plain,
    ( ~ p_2
    | ~ q_1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f68]) ).

fof(f68,plain,
    ( ~ q_0
    | spl0_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f31,axiom,
    ( q_0
    | ~ q_1
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_2) ).

fof(f72,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1,f70,f67]) ).

fof(f1,axiom,
    ( ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_goal_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n004.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   : Tue Aug 30 21:26:49 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (13965)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)
% 0.18/0.49  % (13963)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)
% 0.18/0.50  % (13965)Refutation not found, incomplete strategy% (13965)------------------------------
% 0.18/0.50  % (13965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13965)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (13965)Memory used [KB]: 5756
% 0.18/0.50  % (13965)Time elapsed: 0.002 s
% 0.18/0.50  % (13965)Instructions burned: 1 (million)
% 0.18/0.50  % (13965)------------------------------
% 0.18/0.50  % (13965)------------------------------
% 0.18/0.50  % (13981)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)
% 0.18/0.50  % (13981)Refutation not found, incomplete strategy% (13981)------------------------------
% 0.18/0.50  % (13981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13981)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (13981)Memory used [KB]: 5884
% 0.18/0.50  % (13981)Time elapsed: 0.123 s
% 0.18/0.50  % (13981)Instructions burned: 2 (million)
% 0.18/0.50  % (13981)------------------------------
% 0.18/0.50  % (13981)------------------------------
% 0.18/0.50  % (13985)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)
% 0.18/0.50  % (13989)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)
% 0.18/0.50  % (13989)Refutation not found, incomplete strategy% (13989)------------------------------
% 0.18/0.50  % (13989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13985)First to succeed.
% 0.18/0.50  % (13989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13989)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (13989)Memory used [KB]: 1279
% 0.18/0.50  % (13989)Time elapsed: 0.003 s
% 0.18/0.50  % (13989)------------------------------
% 0.18/0.50  % (13989)------------------------------
% 0.18/0.51  % (13976)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)
% 0.18/0.51  % (13962)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (13964)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)
% 0.18/0.51  % (13964)Refutation not found, incomplete strategy% (13964)------------------------------
% 0.18/0.51  % (13964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13964)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (13964)Memory used [KB]: 5884
% 0.18/0.51  % (13964)Time elapsed: 0.114 s
% 0.18/0.51  % (13964)Instructions burned: 2 (million)
% 0.18/0.51  % (13964)------------------------------
% 0.18/0.51  % (13964)------------------------------
% 0.18/0.51  % (13967)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (13977)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)
% 0.18/0.51  % (13990)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)
% 0.18/0.51  % (13973)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)
% 0.18/0.51  % (13987)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)
% 0.18/0.51  % (13963)Refutation not found, incomplete strategy% (13963)------------------------------
% 0.18/0.51  % (13963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13963)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (13963)Memory used [KB]: 1407
% 0.18/0.51  % (13963)Time elapsed: 0.123 s
% 0.18/0.51  % (13963)Instructions burned: 1 (million)
% 0.18/0.51  % (13963)------------------------------
% 0.18/0.51  % (13963)------------------------------
% 0.18/0.51  % (13987)Refutation not found, incomplete strategy% (13987)------------------------------
% 0.18/0.51  % (13987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13987)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (13987)Memory used [KB]: 5884
% 0.18/0.51  % (13987)Time elapsed: 0.002 s
% 0.18/0.51  % (13987)Instructions burned: 1 (million)
% 0.18/0.51  % (13987)------------------------------
% 0.18/0.51  % (13987)------------------------------
% 0.18/0.51  % (13970)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)
% 0.18/0.51  % (13979)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52  % (13968)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)
% 0.18/0.52  % (13971)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)
% 0.18/0.52  % (13971)Refutation not found, incomplete strategy% (13971)------------------------------
% 0.18/0.52  % (13971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13975)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)
% 0.18/0.52  % (13978)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)
% 0.18/0.52  % (13991)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)
% 0.18/0.52  % (13991)Refutation not found, incomplete strategy% (13991)------------------------------
% 0.18/0.52  % (13991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13991)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13991)Memory used [KB]: 5884
% 0.18/0.52  % (13991)Time elapsed: 0.135 s
% 0.18/0.52  % (13991)------------------------------
% 0.18/0.52  % (13991)------------------------------
% 0.18/0.52  % (13983)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)
% 0.18/0.52  % (13988)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)
% 0.18/0.52  % (13972)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)
% 0.18/0.52  % (13966)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)
% 0.18/0.52  % (13986)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)
% 0.18/0.52  The problem is propositional so there are no sorts!
% 0.18/0.52  TRYING []
% 0.18/0.52  % (13966)Refutation not found, incomplete strategy% (13966)------------------------------
% 0.18/0.52  % (13966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13966)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13966)Memory used [KB]: 5884
% 0.18/0.52  % (13966)Time elapsed: 0.003 s
% 0.18/0.52  % (13966)------------------------------
% 0.18/0.52  % (13966)------------------------------
% 0.18/0.52  % (13984)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)
% 0.18/0.52  % (13983)Refutation not found, incomplete strategy% (13983)------------------------------
% 0.18/0.52  % (13983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13983)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13983)Memory used [KB]: 5756
% 0.18/0.52  % (13983)Time elapsed: 0.002 s
% 0.18/0.52  % (13983)Instructions burned: 1 (million)
% 0.18/0.52  % (13983)------------------------------
% 0.18/0.52  % (13983)------------------------------
% 0.18/0.52  % (13984)Refutation not found, incomplete strategy% (13984)------------------------------
% 0.18/0.52  % (13984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13984)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13984)Memory used [KB]: 5884
% 0.18/0.52  % (13984)Time elapsed: 0.136 s
% 0.18/0.52  % (13984)Instructions burned: 2 (million)
% 0.18/0.52  % (13984)------------------------------
% 0.18/0.52  % (13984)------------------------------
% 0.18/0.52  % (13988)Refutation not found, incomplete strategy% (13988)------------------------------
% 0.18/0.52  % (13988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13988)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13988)Memory used [KB]: 5884
% 0.18/0.52  % (13988)Time elapsed: 0.134 s
% 0.18/0.52  % (13988)Instructions burned: 2 (million)
% 0.18/0.52  % (13988)------------------------------
% 0.18/0.52  % (13988)------------------------------
% 0.18/0.52  % (13976)Also succeeded, but the first one will report.
% 0.18/0.52  % (13971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13971)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (13971)Memory used [KB]: 5884
% 0.18/0.52  % (13971)Time elapsed: 0.126 s
% 0.18/0.52  % (13971)Instructions burned: 2 (million)
% 0.18/0.52  % (13971)------------------------------
% 0.18/0.52  % (13971)------------------------------
% 0.18/0.53  % (13985)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (13985)------------------------------
% 0.18/0.53  % (13985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (13985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (13985)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (13985)Memory used [KB]: 6012
% 0.18/0.53  % (13985)Time elapsed: 0.079 s
% 0.18/0.53  % (13985)Instructions burned: 3 (million)
% 0.18/0.53  % (13985)------------------------------
% 0.18/0.53  % (13985)------------------------------
% 0.18/0.53  % (13961)Success in time 0.183 s
%------------------------------------------------------------------------------