TSTP Solution File: SYN094-1.005 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN094-1.005 : 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_sat --cores 0 -t %d %s

% Computer : n001.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 19:36:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  108 (   3 unt;   0 def)
%            Number of atoms       :  271 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  259 (  96   ~; 128   |;   0   &)
%                                         (  35 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   71 (  70 usr;  71 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f397,plain,
    $false,
    inference(avatar_sat_refutation,[],[f91,f109,f140,f158,f171,f189,f213,f218,f223,f224,f237,f238,f239,f245,f255,f266,f271,f300,f307,f314,f319,f321,f327,f332,f337,f338,f346,f347,f354,f357,f367,f368,f369,f383,f395,f396]) ).

fof(f396,plain,
    ( spl0_7
    | spl0_30 ),
    inference(avatar_split_clause,[],[f79,f215,f111]) ).

fof(f111,plain,
    ( spl0_7
  <=> q_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f215,plain,
    ( spl0_30
  <=> u_40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f79,axiom,
    ( u_40
    | q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).

fof(f395,plain,
    ( ~ spl0_2
    | spl0_14
    | ~ spl0_4
    | spl0_40 ),
    inference(avatar_split_clause,[],[f53,f268,f97,f142,f88]) ).

fof(f88,plain,
    ( spl0_2
  <=> q_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f142,plain,
    ( spl0_14
  <=> q_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f97,plain,
    ( spl0_4
  <=> p_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f268,plain,
    ( spl0_40
  <=> u_27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f53,axiom,
    ( u_27
    | ~ p_6
    | q_4
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_10) ).

fof(f383,plain,
    ~ spl0_56,
    inference(avatar_split_clause,[],[f2,f364]) ).

fof(f364,plain,
    ( spl0_56
  <=> u_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

fof(f369,plain,
    ( ~ spl0_19
    | ~ spl0_6
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f27,f137,f97,f106,f164]) ).

fof(f164,plain,
    ( spl0_19
  <=> p_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f106,plain,
    ( spl0_6
  <=> p_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f137,plain,
    ( spl0_13
  <=> u_14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f27,axiom,
    ( u_14
    | p_6
    | ~ p_7
    | ~ p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_13) ).

fof(f368,plain,
    ( spl0_24
    | ~ spl0_42
    | spl0_52
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f7,f120,f334,f278,f186]) ).

fof(f186,plain,
    ( spl0_24
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f278,plain,
    ( spl0_42
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f334,plain,
    ( spl0_52
  <=> u_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f120,plain,
    ( spl0_9
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f7,axiom,
    ( ~ p_2
    | u_4
    | ~ p_3
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).

fof(f367,plain,
    ( ~ spl0_12
    | spl0_56
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1,f178,f364,f132]) ).

fof(f132,plain,
    ( spl0_12
  <=> q_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f178,plain,
    ( spl0_22
  <=> p_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1,axiom,
    ( ~ p_0
    | u_1
    | ~ q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).

fof(f357,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f57,f88,f84,f160,f106]) ).

fof(f160,plain,
    ( spl0_18
  <=> q_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f84,plain,
    ( spl0_1
  <=> u_29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f57,axiom,
    ( q_5
    | u_29
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_12) ).

fof(f354,plain,
    ( ~ spl0_51
    | spl0_19 ),
    inference(avatar_split_clause,[],[f76,f164,f329]) ).

fof(f329,plain,
    ( spl0_51
  <=> u_38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f76,axiom,
    ( p_8
    | ~ u_38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_38_t3_1) ).

fof(f347,plain,
    ( ~ spl0_35
    | spl0_26 ),
    inference(avatar_split_clause,[],[f82,f195,f242]) ).

fof(f242,plain,
    ( spl0_35
  <=> u_41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f195,plain,
    ( spl0_26
  <=> q_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f82,axiom,
    ( q_9
    | ~ u_41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_41_t3_4) ).

fof(f346,plain,
    ( spl0_49
    | ~ spl0_2
    | ~ spl0_14
    | spl0_42 ),
    inference(avatar_split_clause,[],[f17,f278,f142,f88,f316]) ).

fof(f316,plain,
    ( spl0_49
  <=> u_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f17,axiom,
    ( p_3
    | ~ q_4
    | ~ q_5
    | u_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_8) ).

fof(f338,plain,
    ( spl0_34
    | spl0_46
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f21,f88,f160,f297,f234]) ).

fof(f234,plain,
    ( spl0_34
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f297,plain,
    ( spl0_46
  <=> u_11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f21,axiom,
    ( ~ q_5
    | ~ q_6
    | u_11
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_10) ).

fof(f337,plain,
    ( spl0_24
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f8,f334,f186]) ).

fof(f8,axiom,
    ( ~ u_4
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s3_type11_3) ).

fof(f332,plain,
    ( spl0_51
    | spl0_19 ),
    inference(avatar_split_clause,[],[f75,f164,f329]) ).

fof(f75,axiom,
    ( p_8
    | u_38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).

fof(f327,plain,
    ( ~ spl0_31
    | spl0_12 ),
    inference(avatar_split_clause,[],[f36,f132,f220]) ).

fof(f220,plain,
    ( spl0_31
  <=> u_18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f36,axiom,
    ( q_0
    | ~ u_18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_18_s3_type12_1) ).

fof(f321,plain,
    ( ~ spl0_33
    | spl0_32 ),
    inference(avatar_split_clause,[],[f48,f226,f230]) ).

fof(f230,plain,
    ( spl0_33
  <=> u_24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f226,plain,
    ( spl0_32
  <=> q_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f48,axiom,
    ( q_3
    | ~ u_24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_24_s3_type12_7) ).

fof(f319,plain,
    ( spl0_42
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f18,f316,f278]) ).

fof(f18,axiom,
    ( ~ u_9
    | p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_9_s3_type11_8) ).

fof(f314,plain,
    ( spl0_29
    | ~ spl0_42
    | ~ spl0_34
    | spl0_9 ),
    inference(avatar_split_clause,[],[f11,f120,f234,f278,f210]) ).

fof(f210,plain,
    ( spl0_29
  <=> u_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f11,axiom,
    ( p_2
    | ~ p_4
    | ~ p_3
    | u_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_5) ).

fof(f307,plain,
    ( spl0_37
    | ~ spl0_19
    | ~ spl0_26
    | spl0_8 ),
    inference(avatar_split_clause,[],[f63,f115,f195,f164,f252]) ).

fof(f252,plain,
    ( spl0_37
  <=> u_32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f115,plain,
    ( spl0_8
  <=> q_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f63,axiom,
    ( q_7
    | ~ q_9
    | ~ p_8
    | u_32 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_15) ).

fof(f300,plain,
    ( ~ spl0_46
    | spl0_34 ),
    inference(avatar_split_clause,[],[f22,f234,f297]) ).

fof(f22,axiom,
    ( p_4
    | ~ u_11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_11_s3_type11_10) ).

fof(f271,plain,
    ( spl0_14
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f54,f268,f142]) ).

fof(f54,axiom,
    ( ~ u_27
    | q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_27_s3_type12_10) ).

fof(f266,plain,
    ( spl0_18
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f62,f168,f160]) ).

fof(f168,plain,
    ( spl0_20
  <=> u_31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f62,axiom,
    ( ~ u_31
    | q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_31_s3_type12_14) ).

fof(f255,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f64,f252,f115]) ).

fof(f64,axiom,
    ( ~ u_32
    | q_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_32_s3_type12_15) ).

fof(f245,plain,
    ( spl0_35
    | spl0_26 ),
    inference(avatar_split_clause,[],[f81,f195,f242]) ).

fof(f81,axiom,
    ( q_9
    | u_41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_4) ).

fof(f239,plain,
    ( ~ spl0_32
    | spl0_17
    | spl0_16
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f45,f234,f151,f155,f226]) ).

fof(f155,plain,
    ( spl0_17
  <=> q_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f151,plain,
    ( spl0_16
  <=> u_23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f45,axiom,
    ( ~ p_4
    | u_23
    | q_2
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_6) ).

fof(f238,plain,
    ( ~ spl0_7
    | spl0_5
    | ~ spl0_26
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f106,f195,f102,f111]) ).

fof(f102,plain,
    ( spl0_5
  <=> u_17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f33,axiom,
    ( p_7
    | ~ q_9
    | u_17
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_16) ).

fof(f237,plain,
    ( ~ spl0_2
    | spl0_32
    | spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f47,f234,f230,f226,f88]) ).

fof(f47,axiom,
    ( ~ p_4
    | u_24
    | q_3
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_7) ).

fof(f224,plain,
    ( ~ spl0_23
    | spl0_22 ),
    inference(avatar_split_clause,[],[f4,f178,f182]) ).

fof(f182,plain,
    ( spl0_23
  <=> u_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f4,axiom,
    ( p_0
    | ~ u_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s3_type11_1) ).

fof(f223,plain,
    ( spl0_31
    | ~ spl0_17
    | ~ spl0_24
    | spl0_12 ),
    inference(avatar_split_clause,[],[f35,f132,f186,f155,f220]) ).

fof(f35,axiom,
    ( q_0
    | ~ p_1
    | ~ q_2
    | u_18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).

fof(f218,plain,
    ( spl0_7
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f80,f215,f111]) ).

fof(f80,axiom,
    ( ~ u_40
    | q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_40_t3_3) ).

fof(f213,plain,
    ( spl0_9
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f12,f210,f120]) ).

fof(f12,axiom,
    ( ~ u_6
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s3_type11_5) ).

fof(f189,plain,
    ( ~ spl0_9
    | spl0_22
    | spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f3,f186,f182,f178,f120]) ).

fof(f3,axiom,
    ( ~ p_1
    | u_2
    | p_0
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).

fof(f171,plain,
    ( spl0_18
    | ~ spl0_19
    | spl0_20
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f61,f115,f168,f164,f160]) ).

fof(f61,axiom,
    ( ~ q_7
    | u_31
    | ~ p_8
    | q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_14) ).

fof(f158,plain,
    ( ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f46,f155,f151]) ).

fof(f46,axiom,
    ( q_2
    | ~ u_23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_23_s3_type12_6) ).

fof(f140,plain,
    ( ~ spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f28,f97,f137]) ).

fof(f28,axiom,
    ( p_6
    | ~ u_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_s3_type11_13) ).

fof(f109,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f34,f106,f102]) ).

fof(f34,axiom,
    ( p_7
    | ~ u_17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_17_s3_type11_16) ).

fof(f91,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f58,f88,f84]) ).

fof(f58,axiom,
    ( q_5
    | ~ u_29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_29_s3_type12_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n001.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 21:51:47 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.19/0.43  % (24876)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.45  % (24884)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.45  % (24876)First to succeed.
% 0.19/0.45  % (24876)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (24876)------------------------------
% 0.19/0.45  % (24876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (24876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (24876)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (24876)Memory used [KB]: 5628
% 0.19/0.45  % (24876)Time elapsed: 0.004 s
% 0.19/0.45  % (24876)Instructions burned: 2 (million)
% 0.19/0.45  % (24876)------------------------------
% 0.19/0.45  % (24876)------------------------------
% 0.19/0.45  % (24872)Success in time 0.115 s
%------------------------------------------------------------------------------