TSTP Solution File: ALG199+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n024.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 15:43:36 EDT 2022

% Result   : Theorem 0.14s 0.53s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  15 unt;   0 def)
%            Number of atoms       :  106 (  84 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  138 (  59   ~;  48   |;  24   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2065,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1040,f1222,f1313,f1399,f1544,f1910,f1997,f2064]) ).

fof(f2064,plain,
    ~ spl0_119,
    inference(avatar_split_clause,[],[f379,f1028]) ).

fof(f1028,plain,
    ( spl0_119
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f379,plain,
    e1 != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e4 != op(e4,e4)
    & e2 != op(e2,e2)
    & e6 != op(e6,e6)
    & e1 != op(e1,e1)
    & ( e2 = op(e2,e2)
      | e3 = op(e3,e3)
      | e6 = op(e6,e6)
      | e5 = op(e5,e5)
      | e1 = op(e1,e1)
      | e0 = op(e0,e0)
      | e4 = op(e4,e4) )
    & e5 != op(e5,e5)
    & ( e0 != op(e0,e0)
      | e5 != op(e5,e5)
      | e1 != op(e1,e1)
      | e4 != op(e4,e4)
      | e2 != op(e2,e2)
      | e6 != op(e6,e6)
      | e3 != op(e3,e3) )
    & e0 != op(e0,e0)
    & e3 != op(e3,e3) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( e4 != op(e4,e4)
        & e2 != op(e2,e2)
        & e6 != op(e6,e6)
        & e1 != op(e1,e1)
        & ( e2 = op(e2,e2)
          | e3 = op(e3,e3)
          | e6 = op(e6,e6)
          | e5 = op(e5,e5)
          | e1 = op(e1,e1)
          | e0 = op(e0,e0)
          | e4 = op(e4,e4) )
        & e5 != op(e5,e5)
        & ( e0 != op(e0,e0)
          | e5 != op(e5,e5)
          | e1 != op(e1,e1)
          | e4 != op(e4,e4)
          | e2 != op(e2,e2)
          | e6 != op(e6,e6)
          | e3 != op(e3,e3) )
        & e0 != op(e0,e0)
        & e3 != op(e3,e3) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( e4 != op(e4,e4)
      & e2 != op(e2,e2)
      & e6 != op(e6,e6)
      & e1 != op(e1,e1)
      & ( e2 = op(e2,e2)
        | e3 = op(e3,e3)
        | e6 = op(e6,e6)
        | e5 = op(e5,e5)
        | e1 = op(e1,e1)
        | e0 = op(e0,e0)
        | e4 = op(e4,e4) )
      & e5 != op(e5,e5)
      & ( e0 != op(e0,e0)
        | e5 != op(e5,e5)
        | e1 != op(e1,e1)
        | e4 != op(e4,e4)
        | e2 != op(e2,e2)
        | e6 != op(e6,e6)
        | e3 != op(e3,e3) )
      & e0 != op(e0,e0)
      & e3 != op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1997,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f382,f537]) ).

fof(f537,plain,
    ( spl0_1
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f382,plain,
    e4 != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f1910,plain,
    ~ spl0_83,
    inference(avatar_split_clause,[],[f380,f878]) ).

fof(f878,plain,
    ( spl0_83
  <=> e6 = op(e6,e6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f380,plain,
    e6 != op(e6,e6),
    inference(cnf_transformation,[],[f9]) ).

fof(f1544,plain,
    ~ spl0_121,
    inference(avatar_split_clause,[],[f375,f1036]) ).

fof(f1036,plain,
    ( spl0_121
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f375,plain,
    e0 != op(e0,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f1399,plain,
    ~ spl0_81,
    inference(avatar_split_clause,[],[f374,f869]) ).

fof(f869,plain,
    ( spl0_81
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f374,plain,
    e3 != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f1313,plain,
    ~ spl0_120,
    inference(avatar_split_clause,[],[f377,f1032]) ).

fof(f1032,plain,
    ( spl0_120
  <=> e5 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f377,plain,
    e5 != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f1222,plain,
    ( spl0_1
    | spl0_81
    | spl0_118
    | spl0_120
    | spl0_83
    | spl0_119
    | spl0_121 ),
    inference(avatar_split_clause,[],[f378,f1036,f1028,f878,f1032,f1024,f869,f537]) ).

fof(f1024,plain,
    ( spl0_118
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f378,plain,
    ( e0 = op(e0,e0)
    | e1 = op(e1,e1)
    | e6 = op(e6,e6)
    | e5 = op(e5,e5)
    | e2 = op(e2,e2)
    | e3 = op(e3,e3)
    | e4 = op(e4,e4) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f1040,plain,
    ~ spl0_118,
    inference(avatar_split_clause,[],[f381,f1024]) ).

fof(f381,plain,
    e2 != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31  % Computer : n024.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Mon Aug 29 15:01:04 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.14/0.48  % (32114)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.48  % (32122)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)
% 0.14/0.48  % (32114)Instruction limit reached!
% 0.14/0.48  % (32114)------------------------------
% 0.14/0.48  % (32114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (32114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (32114)Termination reason: Unknown
% 0.14/0.48  % (32114)Termination phase: shuffling
% 0.14/0.48  
% 0.14/0.48  % (32114)Memory used [KB]: 1151
% 0.14/0.48  % (32114)Time elapsed: 0.004 s
% 0.14/0.48  % (32114)Instructions burned: 2 (million)
% 0.14/0.48  % (32114)------------------------------
% 0.14/0.48  % (32114)------------------------------
% 0.14/0.48  % (32125)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.49  % (32128)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.49  % (32117)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)
% 0.14/0.49  % (32121)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.50  % (32112)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50  % (32130)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.51  % (32133)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.51  % (32120)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)
% 0.14/0.51  % (32129)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.51  % (32113)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.51  % (32113)Instruction limit reached!
% 0.14/0.51  % (32113)------------------------------
% 0.14/0.51  % (32113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (32113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (32113)Termination reason: Unknown
% 0.14/0.51  % (32113)Termination phase: Property scanning
% 0.14/0.51  
% 0.14/0.51  % (32113)Memory used [KB]: 1279
% 0.14/0.51  % (32113)Time elapsed: 0.006 s
% 0.14/0.51  % (32113)Instructions burned: 8 (million)
% 0.14/0.51  % (32113)------------------------------
% 0.14/0.51  % (32113)------------------------------
% 0.14/0.52  % (32122)First to succeed.
% 0.14/0.53  % (32122)Refutation found. Thanks to Tanya!
% 0.14/0.53  % SZS status Theorem for theBenchmark
% 0.14/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.53  % (32122)------------------------------
% 0.14/0.53  % (32122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (32122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (32122)Termination reason: Refutation
% 0.14/0.53  
% 0.14/0.53  % (32122)Memory used [KB]: 6780
% 0.14/0.53  % (32122)Time elapsed: 0.135 s
% 0.14/0.53  % (32122)Instructions burned: 28 (million)
% 0.14/0.53  % (32122)------------------------------
% 0.14/0.53  % (32122)------------------------------
% 0.14/0.53  % (32105)Success in time 0.217 s
%------------------------------------------------------------------------------