TSTP Solution File: SYN010-1.005.005 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 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 : n005.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 19:25:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   52
% Syntax   : Number of formulae    :   80 (  12 unt;   0 def)
%            Number of atoms       :  318 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  454 ( 216   ~; 213   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   52 (  51 usr;  52 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f77,f98,f99,f104,f109,f110,f123,f128,f133,f134,f135,f136,f137,f138,f139,f140,f141,f147,f148,f149,f150,f151,f152,f153,f154]) ).

fof(f154,plain,
    ( ~ spl0_22
    | ~ spl0_18
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_21
    | spl0_16 ),
    inference(avatar_split_clause,[],[f14,f91,f116,f62,f112,f101,f120]) ).

fof(f120,plain,
    ( spl0_22
  <=> p_4_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f101,plain,
    ( spl0_18
  <=> p_4_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f112,plain,
    ( spl0_20
  <=> p_4_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f62,plain,
    ( spl0_9
  <=> p_4_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f116,plain,
    ( spl0_21
  <=> p_4_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f91,plain,
    ( spl0_16
  <=> p_3_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f14,axiom,
    ( p_3_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5
    | ~ p_4_2
    | ~ p_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

fof(f153,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_8
    | ~ spl0_12
    | spl0_20
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f22,f54,f112,f74,f58,f70,f66]) ).

fof(f66,plain,
    ( spl0_10
  <=> p_5_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f70,plain,
    ( spl0_11
  <=> p_5_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f58,plain,
    ( spl0_8
  <=> p_5_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f74,plain,
    ( spl0_12
  <=> p_5_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f54,plain,
    ( spl0_7
  <=> p_5_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f22,axiom,
    ( ~ p_5_2
    | p_4_5
    | ~ p_5_1
    | ~ p_5_5
    | ~ p_5_4
    | ~ p_5_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).

fof(f152,plain,
    ( ~ spl0_5
    | spl0_25
    | ~ spl0_4
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f6,f29,f49,f37,f41,f144,f45]) ).

fof(f45,plain,
    ( spl0_5
  <=> p_2_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f144,plain,
    ( spl0_25
  <=> p_1_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f41,plain,
    ( spl0_4
  <=> p_2_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f37,plain,
    ( spl0_3
  <=> p_2_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f49,plain,
    ( spl0_6
  <=> p_2_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f29,plain,
    ( spl0_1
  <=> p_2_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f6,axiom,
    ( ~ p_2_2
    | ~ p_2_4
    | ~ p_2_3
    | ~ p_2_5
    | p_1_4
    | ~ p_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f151,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f26,f70]) ).

fof(f26,axiom,
    p_5_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).

fof(f150,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | ~ spl0_10
    | ~ spl0_11
    | spl0_21
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f20,f54,f116,f70,f66,f74,f58]) ).

fof(f20,axiom,
    ( ~ p_5_2
    | p_4_3
    | ~ p_5_4
    | ~ p_5_3
    | ~ p_5_1
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

fof(f149,plain,
    ( ~ spl0_20
    | ~ spl0_21
    | ~ spl0_18
    | ~ spl0_22
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f15,f79,f62,f120,f101,f116,f112]) ).

fof(f79,plain,
    ( spl0_13
  <=> p_3_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f15,axiom,
    ( p_3_3
    | ~ p_4_4
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

fof(f148,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f23,f74]) ).

fof(f23,axiom,
    p_5_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).

fof(f147,plain,
    ( ~ spl0_23
    | ~ spl0_25
    | ~ spl0_24
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f142,f106,f33,f130,f144,f125]) ).

fof(f125,plain,
    ( spl0_23
  <=> p_1_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f130,plain,
    ( spl0_24
  <=> p_1_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f33,plain,
    ( spl0_2
  <=> p_1_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f106,plain,
    ( spl0_19
  <=> p_1_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f142,plain,
    ( ~ p_1_2
    | ~ p_1_1
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    inference(subsumption_resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ~ p_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f2,axiom,
    ( p_0
    | ~ p_1_1
    | ~ p_1_2
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f141,plain,
    ( spl0_15
    | ~ spl0_18
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f13,f120,f62,f116,f112,f101,f87]) ).

fof(f87,plain,
    ( spl0_15
  <=> p_3_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f13,axiom,
    ( ~ p_4_1
    | ~ p_4_4
    | ~ p_4_3
    | ~ p_4_5
    | ~ p_4_2
    | p_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).

fof(f140,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_7
    | ~ spl0_12
    | spl0_22
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f18,f70,f120,f74,f54,f66,f58]) ).

fof(f18,axiom,
    ( ~ p_5_4
    | p_4_1
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).

fof(f139,plain,
    ( ~ spl0_16
    | ~ spl0_15
    | spl0_6
    | ~ spl0_14
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f11,f95,f79,f83,f49,f87,f91]) ).

fof(f83,plain,
    ( spl0_14
  <=> p_3_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f95,plain,
    ( spl0_17
  <=> p_3_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f11,axiom,
    ( ~ p_3_5
    | ~ p_3_3
    | ~ p_3_4
    | p_2_4
    | ~ p_3_1
    | ~ p_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

fof(f138,plain,
    ( spl0_17
    | ~ spl0_22
    | ~ spl0_21
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f17,f62,f101,f112,f116,f120,f95]) ).

fof(f17,axiom,
    ( ~ p_4_4
    | ~ p_4_2
    | ~ p_4_5
    | ~ p_4_3
    | ~ p_4_1
    | p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).

fof(f137,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f25,f66]) ).

fof(f25,axiom,
    p_5_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).

fof(f136,plain,
    ( ~ spl0_17
    | ~ spl0_13
    | ~ spl0_14
    | spl0_4
    | ~ spl0_16
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f12,f87,f91,f41,f83,f79,f95]) ).

fof(f12,axiom,
    ( ~ p_3_1
    | ~ p_3_2
    | p_2_5
    | ~ p_3_4
    | ~ p_3_3
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).

fof(f135,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f24,f54]) ).

fof(f24,axiom,
    p_5_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).

fof(f134,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_14
    | spl0_3
    | ~ spl0_15
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f10,f79,f87,f37,f83,f95,f91]) ).

fof(f10,axiom,
    ( ~ p_3_3
    | ~ p_3_1
    | p_2_3
    | ~ p_3_4
    | ~ p_3_5
    | ~ p_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

fof(f133,plain,
    ( spl0_24
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f5,f37,f45,f49,f41,f29,f130]) ).

fof(f5,axiom,
    ( ~ p_2_3
    | ~ p_2_1
    | ~ p_2_4
    | ~ p_2_5
    | ~ p_2_2
    | p_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f128,plain,
    ( ~ spl0_6
    | ~ spl0_1
    | spl0_23
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f7,f41,f45,f37,f125,f29,f49]) ).

fof(f7,axiom,
    ( ~ p_2_5
    | ~ p_2_1
    | ~ p_2_3
    | p_1_5
    | ~ p_2_2
    | ~ p_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f123,plain,
    ( ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_9
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f16,f101,f83,f62,f120,f116,f112]) ).

fof(f16,axiom,
    ( ~ p_4_2
    | p_3_4
    | ~ p_4_4
    | ~ p_4_1
    | ~ p_4_3
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

fof(f110,plain,
    ( ~ spl0_14
    | ~ spl0_17
    | ~ spl0_16
    | ~ spl0_13
    | spl0_5
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f8,f87,f45,f79,f91,f95,f83]) ).

fof(f8,axiom,
    ( ~ p_3_1
    | p_2_1
    | ~ p_3_3
    | ~ p_3_2
    | ~ p_3_5
    | ~ p_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

fof(f109,plain,
    ( spl0_19
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f4,f37,f45,f49,f29,f41,f106]) ).

fof(f4,axiom,
    ( ~ p_2_3
    | ~ p_2_1
    | ~ p_2_4
    | ~ p_2_2
    | ~ p_2_5
    | p_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f104,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f19,f101,f54,f66,f58,f70,f74]) ).

fof(f19,axiom,
    ( p_4_2
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_5
    | ~ p_5_4
    | ~ p_5_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).

fof(f99,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f27,f58]) ).

fof(f27,axiom,
    p_5_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).

fof(f98,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f9,f95,f91,f87,f83,f79,f29]) ).

fof(f9,axiom,
    ( ~ p_3_5
    | ~ p_3_2
    | ~ p_3_1
    | ~ p_3_4
    | ~ p_3_3
    | p_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

fof(f77,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f21,f74,f70,f66,f62,f58,f54]) ).

fof(f21,axiom,
    ( ~ p_5_1
    | ~ p_5_4
    | ~ p_5_3
    | p_4_4
    | ~ p_5_5
    | ~ p_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).

fof(f52,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3,f49,f45,f41,f37,f33,f29]) ).

fof(f3,axiom,
    ( ~ p_2_4
    | ~ p_2_1
    | ~ p_2_5
    | ~ p_2_3
    | p_1_1
    | ~ p_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.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 21:21:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (24547)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)
% 0.19/0.50  % (24546)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)
% 0.19/0.50  % (24563)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)
% 0.19/0.51  % (24552)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)
% 0.19/0.51  % (24555)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)
% 0.19/0.51  % (24547)First to succeed.
% 0.19/0.51  % (24548)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)
% 0.19/0.51  % (24548)Also succeeded, but the first one will report.
% 0.19/0.51  % (24547)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (24547)------------------------------
% 0.19/0.51  % (24547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (24547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (24547)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (24547)Memory used [KB]: 5884
% 0.19/0.51  % (24547)Time elapsed: 0.003 s
% 0.19/0.51  % (24547)Instructions burned: 1 (million)
% 0.19/0.51  % (24547)------------------------------
% 0.19/0.51  % (24547)------------------------------
% 0.19/0.51  % (24543)Success in time 0.165 s
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