TSTP Solution File: PUZ030-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ030-2 : 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 : n014.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 18:10:45 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   69 (   1 unt;   0 def)
%            Number of atoms       :  219 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  250 ( 100   ~; 140   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   21 (  20 usr;  21 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f108,f109,f114,f117,f118,f119,f122,f123,f125,f130,f131,f138,f140,f141,f142,f143,f145,f148,f149,f152,f153,f154,f156,f158,f159,f161,f163,f164,f166]) ).

fof(f166,plain,
    ( spl0_2
    | spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2,f101,f65,f69]) ).

fof(f69,plain,
    ( spl0_2
  <=> salt_lang ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f65,plain,
    ( spl0_1
  <=> mustard_barry ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f101,plain,
    ( spl0_9
  <=> salt_mill ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2,axiom,
    ( ~ salt_mill
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

fof(f164,plain,
    ( spl0_5
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f44,f111,f90,f81]) ).

fof(f81,plain,
    ( spl0_5
  <=> salt_barry ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f90,plain,
    ( spl0_7
  <=> salt_cole ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f111,plain,
    ( spl0_10
  <=> mustard_cole ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f44,axiom,
    ( mustard_cole
    | ~ salt_cole
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c44) ).

fof(f163,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f29,f69,f101,f95]) ).

fof(f95,plain,
    ( spl0_8
  <=> mustard_lang ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f29,axiom,
    ( ~ salt_lang
    | salt_mill
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c29) ).

fof(f161,plain,
    ( spl0_3
    | spl0_10
    | spl0_7
    | ~ spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f50,f77,f86,f90,f111,f73]) ).

fof(f73,plain,
    ( spl0_3
  <=> salt_dix ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f86,plain,
    ( spl0_6
  <=> mustard_mill ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f77,plain,
    ( spl0_4
  <=> mustard_dix ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f50,axiom,
    ( mustard_dix
    | ~ mustard_mill
    | salt_cole
    | mustard_cole
    | salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c50) ).

fof(f159,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f5,f95,f111,f86]) ).

fof(f5,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

fof(f158,plain,
    ( ~ spl0_9
    | ~ spl0_7
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f46,f81,f65,f90,f101]) ).

fof(f46,axiom,
    ( ~ salt_barry
    | ~ mustard_barry
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c46) ).

fof(f156,plain,
    ( spl0_7
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f16,f81,f73,f90]) ).

fof(f16,axiom,
    ( ~ salt_barry
    | ~ salt_dix
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).

fof(f154,plain,
    ( spl0_8
    | spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f56,f101,f86,f95]) ).

fof(f56,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56) ).

fof(f153,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3,f101,f95,f81]) ).

fof(f3,axiom,
    ( ~ salt_mill
    | mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

fof(f152,plain,
    ( spl0_10
    | spl0_2
    | ~ spl0_1
    | spl0_3
    | spl0_4
    | ~ spl0_8
    | ~ spl0_5
    | spl0_7
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f63,f101,f86,f90,f81,f95,f77,f73,f65,f69,f111]) ).

fof(f63,axiom,
    ( ~ salt_mill
    | mustard_mill
    | salt_cole
    | ~ salt_barry
    | ~ mustard_lang
    | mustard_dix
    | salt_dix
    | ~ mustard_barry
    | salt_lang
    | mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_who_takes_what) ).

fof(f149,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f22,f77,f101,f65]) ).

fof(f22,axiom,
    ( ~ mustard_dix
    | salt_mill
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).

fof(f148,plain,
    ( ~ spl0_5
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f69,f65,f81]) ).

fof(f34,axiom,
    ( salt_lang
    | mustard_barry
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34) ).

fof(f145,plain,
    ( spl0_3
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f62,f65,f77,f73]) ).

fof(f62,axiom,
    ( mustard_barry
    | mustard_dix
    | salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c62) ).

fof(f143,plain,
    ( spl0_7
    | ~ spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f43,f81,f111,f90]) ).

fof(f43,axiom,
    ( salt_barry
    | ~ mustard_cole
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43) ).

fof(f142,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f6,f111,f101,f95]) ).

fof(f6,axiom,
    ( ~ mustard_cole
    | ~ salt_mill
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

fof(f141,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f36,f111,f95,f69]) ).

fof(f36,axiom,
    ( mustard_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c36) ).

fof(f140,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f13,f65,f111,f73]) ).

fof(f13,axiom,
    ( ~ mustard_barry
    | mustard_cole
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

fof(f138,plain,
    ( spl0_8
    | spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f57,f111,f90,f95]) ).

fof(f57,axiom,
    ( mustard_cole
    | salt_cole
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c57) ).

fof(f131,plain,
    ( ~ spl0_5
    | spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f15,f73,f111,f81]) ).

fof(f15,axiom,
    ( ~ salt_dix
    | mustard_cole
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).

fof(f130,plain,
    ( ~ spl0_10
    | spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f17,f77,f95,f111]) ).

fof(f17,axiom,
    ( mustard_dix
    | mustard_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).

fof(f125,plain,
    ( ~ spl0_10
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f19,f95,f73,f111]) ).

fof(f19,axiom,
    ( mustard_lang
    | salt_dix
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

fof(f123,plain,
    ( ~ spl0_6
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f11,f77,f69,f86]) ).

fof(f11,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

fof(f122,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1,f65,f101,f95]) ).

fof(f1,axiom,
    ( mustard_barry
    | ~ salt_mill
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

fof(f119,plain,
    ( spl0_4
    | spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f58,f101,f86,f77]) ).

fof(f58,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c58) ).

fof(f118,plain,
    ( ~ spl0_9
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f10,f95,f77,f101]) ).

fof(f10,axiom,
    ( ~ mustard_lang
    | ~ mustard_dix
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

fof(f117,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f41,f81,f95,f69]) ).

fof(f41,axiom,
    ( salt_barry
    | ~ mustard_lang
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c41) ).

fof(f114,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f49,f90,f86,f111,f73,f77]) ).

fof(f49,axiom,
    ( ~ salt_cole
    | ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_dix
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c49) ).

fof(f109,plain,
    ( spl0_5
    | ~ spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f38,f90,f65,f81]) ).

fof(f38,axiom,
    ( salt_cole
    | ~ mustard_barry
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c38) ).

fof(f108,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f30,f81,f101,f65]) ).

fof(f30,axiom,
    ( ~ salt_barry
    | salt_mill
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c30) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 10:40:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (16901)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)
% 0.20/0.49  % (16893)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)
% 0.20/0.49  % (16893)Instruction limit reached!
% 0.20/0.49  % (16893)------------------------------
% 0.20/0.49  % (16893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (16893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (16893)Termination reason: Unknown
% 0.20/0.49  % (16893)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (16893)Memory used [KB]: 5884
% 0.20/0.49  % (16893)Time elapsed: 0.005 s
% 0.20/0.49  % (16893)Instructions burned: 4 (million)
% 0.20/0.49  % (16893)------------------------------
% 0.20/0.49  % (16893)------------------------------
% 0.20/0.49  % (16901)First to succeed.
% 0.20/0.49  % (16901)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (16901)------------------------------
% 0.20/0.49  % (16901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (16901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (16901)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (16901)Memory used [KB]: 5884
% 0.20/0.49  % (16901)Time elapsed: 0.004 s
% 0.20/0.49  % (16901)Instructions burned: 2 (million)
% 0.20/0.49  % (16901)------------------------------
% 0.20/0.49  % (16901)------------------------------
% 0.20/0.49  % (16879)Success in time 0.137 s
%------------------------------------------------------------------------------